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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
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Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Force GitHub README to respect dark mode (function() { var style = document.createElement('style'); style.textContent = ' .markdown-body { color-scheme: dark light; } .markdown-body pre { background: #161b22 !important; } .markdown-body code { background: rgba(110, 118, 129, 0.4) !important; } .markdown-body table th, .markdown-body table td { border-color: #30363d !important; } .markdown-body img { background: #0d1117; } .markdown-body blockquote { border-left-color: #8b949e; } .markdown-body hr { border-color: #30363d; } '; document.head.appendChild(style); })(); } } catch(__e) { console.warn('[Userscript:GitHub Dark Mode README Fix]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Highlight search terms from Google/DuckDuckGo/Bing referrer (function() { var ref = document.referrer; var terms = []; if (ref.includes('google.com') || ref.includes('duckduckgo.com') || ref.includes('bing.com')) { var url = new URL(ref); var q = url.searchParams.get('q') || url.searchParams.get('p'); if (q) { terms = q.split(/\s+/).filter(function(t) { return t.length > 2; }); } } if (terms.length === 0) return; var style = document.createElement('style'); style.textContent = '.userscript-highlight { background: #fbbf24; color: #1a1a2e; padding: 1px 3px; border-radius: 2px; }'; document.head.appendChild(style); function highlight(node) { if (node.nodeType === 3) { // text node var text = node.textContent; var found = false; terms.forEach(function(term) { var regex = new RegExp('(' + term.replace(/[.*+?^${}()|[\]\\]/g, '\\') + ')', 'gi'); if (regex.test(text)) { found = true; var frag = document.createDocumentFragment(); var parts = text.split(regex); parts.forEach(function(part, i) { if (i % 2 === 0) { frag.appendChild(document.createTextNode(part)); } else { var span = document.createElement('span'); span.className = 'userscript-highlight'; span.textContent = part; frag.appendChild(span); } }); node.parentNode.replaceChild(frag, node); } }); } else if (node.nodeType === 1 && node.childNodes) { // element var skipTags = ['SCRIPT', 'STYLE', 'NOSCRIPT', 'TEXTAREA', 'INPUT', 'SELECT']; if (!skipTags.includes(node.tagName)) { Array.from(node.childNodes).forEach(highlight); } } } highlight(document.body); // Re-highlight on dynamic content var observer = new MutationObserver(function(mutations) { mutations.forEach(function(m) { m.addedNodes.forEach(function(node) { if (node.nodeType === 1 || node.nodeType === 3) highlight(node); }); }); }); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Strip utm_, fbclid, gclid, etc. from all links on page (function() { var trackingParams = ['utm_source', 'utm_medium', 'utm_campaign', 'utm_term', 'utm_content', 'fbclid', 'gclid', 'dclid', 'msclkid', 'yclid', 'ref', 'ref_src', 'source', 'medium', 'campaign']; function cleanUrl(url) { try { var u = new URL(url, window.location.origin); var changed = false; trackingParams.forEach(function(p) { if (u.searchParams.has(p)) { u.searchParams.delete(p); changed = true; } }); return changed ? u.toString() : url; } catch (e) { return url; } } function cleanLinks() { document.querySelectorAll('a[href]').forEach(function(a) { var clean = cleanUrl(a.href); if (clean !== a.href) a.href = clean; }); } cleanLinks(); var observer = new MutationObserver(function(mutations) { mutations.forEach(function(m) { m.addedNodes.forEach(function(node) { if (node.nodeType === 1) { if (node.tagName === 'A') cleanLinks(); node.querySelectorAll('a[href]').forEach(function(a) { var clean = cleanUrl(a.href); if (clean !== a.href) a.href = clean; }); } }); }); }); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); } })(); (function(){ try { var __m = "youtube.com"; var __re = new RegExp('^' + "youtube\\.com" + ' Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Auto-enable theater mode on YouTube (function() { function tryTheater() { var btn = document.querySelector('button[aria-label="Theater mode"], ytd-player #player button[title="Theater mode"]'); if (btn && !btn.classList.contains('activated')) { btn.click(); } } // Try immediately tryTheater(); // Try after navigation (SPA) var lastUrl = location.href; setInterval(function() { if (location.href !== lastUrl) { lastUrl = location.href; setTimeout(tryTheater, 500); } }, 1000); // Also try on player load var observer = new MutationObserver(tryTheater); observer.observe(document.body, { childList: true, subtree: true }); })(); } } catch(__e) { console.warn('[Userscript:YouTube Theater Mode Default]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Remove or un-stick sticky/fixed headers that block content (function() { function unstick() { document.querySelectorAll('header, nav, [role="banner"], .header, .navbar, .sticky, .fixed-top, [style*="position: fixed"], [style*="position:sticky"]').forEach(function(el) { if (el.style.position === 'fixed' || el.style.position === 'sticky' || getComputedStyle(el).position === 'fixed' || getComputedStyle(el).position === 'sticky') { el.style.position = 'static'; el.style.top = 'auto'; el.style.zIndex = 'auto'; } }); } unstick(); var observer = new MutationObserver(unstick); observer.observe(document.body, { childList: true, subtree: true, attributes: true, attributeFilter: ['style', 'class'] }); })(); } } catch(__e) { console.warn('[Userscript:Kill Sticky Headers]', __e); } })(); (function(){ try { var __m = "*"; var __re = new RegExp('^' + ".*" + ' Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
Original file line numberDiff line numberDiff line change
@@ -0,0 +1,63 @@
"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()
, 'i'); if (__m === '*' || __re.test(location.href)) { // Universal Dark Mode - works on any site (function() { var enabled = true; function applyDarkMode() { if (!enabled) return; // Create style element if it doesn't exist var style = document.getElementById('universal-dark-mode-style'); if (!style) { style = document.createElement('style'); style.id = 'universal-dark-mode-style'; document.head.appendChild(style); } // Dark mode CSS - inverts colors but preserves images/video style.textContent = ' /* Invert everything except media */ html { filter: invert(1) hue-rotate(180deg) !important; background: #1a1a2e !important; } /* Restore images, videos, iframes, canvas */ img, video, iframe, canvas, svg, picture, [style*="background-image"] { filter: invert(1) hue-rotate(180deg) !important; } /* Preserve specific elements that should not be inverted */ .no-dark-mode, .no-dark-mode *, [data-theme="light"], [data-theme="light"], .ace_editor, .ace_editor *, .CodeMirror, .CodeMirror *, .monaco-editor, .monaco-editor *, .markdown-body pre, .markdown-body pre *, .highlight, .highlight *, pre code, pre code * { filter: none !important; } /* Fix common UI elements */ .modal, .popup, .dropdown-menu, .tooltip, .popover { filter: invert(1) hue-rotate(180deg) !important; background: #2d2d44 !important; border-color: #444 !important; } /* Scrollbars */ ::-webkit-scrollbar { background: #1a1a2e !important; } ::-webkit-scrollbar-thumb { background: #444 !important; } ::-webkit-scrollbar-thumb:hover { background: #555 !important; } /* Selection */ ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; } ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; } '; } function removeDarkMode() { var style = document.getElementById('universal-dark-mode-style'); if (style) style.remove(); } // Toggle with Alt+Shift+D document.addEventListener('keydown', function(e) { if (e.altKey && e.shiftKey && e.key === 'D') { e.preventDefault(); enabled = !enabled; if (enabled) { applyDarkMode(); console.log('[Universal Dark Mode] Enabled'); } else { removeDarkMode(); console.log('[Universal Dark Mode] Disabled'); } } }); // Apply on load applyDarkMode(); // Re-apply on dynamic content var observer = new MutationObserver(function(mutations) { if (enabled && !document.getElementById('universal-dark-mode-style')) { applyDarkMode(); } }); observer.observe(document.head, { childList: true }); console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle'); })(); } } catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); } })(); })(); Added the algorithm to compute Reynolds number in the physics section by pluto-tofu · Pull Request #9913 · TheAlgorithms/Python · GitHub
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63 changes: 63 additions & 0 deletions physics/reynolds_number.py
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"""
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)

Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that of
viscous forces.

R = Inertial Forces / Viscous Forces
R = (ρ * V * D)/μ

where :
ρ = Density of fluid (in Kg/m^3)
D = Diameter of pipe through which fluid flows (in m)
V = Velocity of flow of the fluid (in m/s)
μ = Viscosity of the fluid (in Ns/m^2)

If the Reynolds number calculated is high (greater than 2000), then the
flow through the pipe is said to be turbulent. If Reynolds number is low
(less than 2000), the flow is said to be laminar. Numerically, these are
acceptable values, although in general the laminar and turbulent flows
are classified according to a range. Laminar flow falls below Reynolds
number of 1100 and turbulent falls in a range greater than 2200.
Laminar flow is the type of flow in which the fluid travels smoothly in
regular paths. Conversely, turbulent flow isn't smooth and follows an
irregular path with lots of mixing.

Reference : https://byjus.com/physics/reynolds-number/
"""


def reynolds_number(
density: float, velocity: float, diameter: float, viscosity: float
) -> float:
"""
>>> reynolds_number(900, 2.5, 0.05, 0.4)
281.25
>>> reynolds_number(450, 3.86, 0.078, 0.23)
589.0695652173912
>>> reynolds_number(234, -4.5, 0.3, 0.44)
717.9545454545454
>>> reynolds_number(-90, 2, 0.045, 1)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
>>> reynolds_number(0, 2, -0.4, -2)
Traceback (most recent call last):
...
ValueError: please ensure that density, diameter and viscosity are positive
"""

if density <= 0 or diameter <= 0 or viscosity <= 0:
raise ValueError(
"please ensure that density, diameter and viscosity are positive"
)
return (density * abs(velocity) * diameter) / viscosity


if __name__ == "__main__":
import doctest

doctest.testmod()