{"id":86952,"date":"2025-06-01T04:24:13","date_gmt":"2025-06-01T04:24:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86952"},"modified":"2025-06-01T04:24:13","modified_gmt":"2025-06-01T04:24:13","slug":"the-derivation-of-bernoullis-equation-for-fluid-flow-takes-certain-as","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-derivation-of-bernoullis-equation-for-fluid-flow-takes-certain-as\/","title":{"rendered":"The derivation of Bernoulli’s equation for fluid flow takes certain as"},"content":{"rendered":"

The derivation of Bernoulli’s equation for fluid flow takes certain assumptions. Which one of the following assumptions is not among them?<\/p>\n

[amp_mcq option1=”Gravitational forces can be neglected” option2=”Turbulence of fluid flow can be neglected” option3=”Viscous forces can be neglected” option4=”Frictional forces can be neglected” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC Geoscientist – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nBernoulli’s equation includes a term (gh or \u03c1gh) that specifically accounts for the effect of gravity on the fluid’s potential energy. Therefore, the assumption that gravitational forces can be neglected is incorrect; rather, gravity is included in the derivation.
\n<\/section>\n
\nBernoulli’s equation is derived from the application of the conservation of energy principle to fluid flow under specific idealizing assumptions. These assumptions typically include that the fluid is incompressible, the flow is steady, inviscid (no viscous forces or internal friction), and often irrotational (negligible turbulence). The derivation considers the work done by pressure forces and gravity on a fluid element as it moves along a streamline, relating changes in pressure, velocity, and height (potential energy due to gravity).
\n<\/section>\n
\nThe standard form of Bernoulli’s equation along a streamline is P + \u00bd\u03c1v\u00b2 + \u03c1gh = constant, where P is pressure, \u03c1 is density, v is velocity, g is acceleration due to gravity, and h is height. The term \u03c1gh represents the potential energy per unit volume of the fluid due to gravity. Neglecting viscous and frictional forces simplifies the energy balance by assuming no energy is lost to internal friction or dissipation. Neglecting turbulence assumes the flow is smooth and ordered (laminar or irrotational).
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The derivation of Bernoulli’s equation for fluid flow takes certain assumptions. Which one of the following assumptions is not among them? [amp_mcq option1=”Gravitational forces can be neglected” option2=”Turbulence of fluid flow can be neglected” option3=”Viscous forces can be neglected” option4=”Frictional forces can be neglected” correct=”option1″] This question was previously asked in UPSC Geoscientist – 2022 … <\/p>\n

Detailed SolutionThe derivation of Bernoulli’s equation for fluid flow takes certain as<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1091],"tags":[1108,1129,1128],"class_list":["post-86952","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe derivation of Bernoulli's equation for fluid flow takes certain as<\/title>\n<meta name=\"description\" content=\"Bernoulli's equation includes a term (gh or \u03c1gh) that specifically accounts for the effect of gravity on the fluid's potential energy. Therefore, the assumption that gravitational forces can be neglected is incorrect; rather, gravity is included in the derivation. Bernoulli's equation is derived from the application of the conservation of energy principle to fluid flow under specific idealizing assumptions. These assumptions typically include that the fluid is incompressible, the flow is steady, inviscid (no viscous forces or internal friction), and often irrotational (negligible turbulence). The derivation considers the work done by pressure forces and gravity on a fluid element as it moves along a streamline, relating changes in pressure, velocity, and height (potential energy due to gravity).\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/the-derivation-of-bernoullis-equation-for-fluid-flow-takes-certain-as\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The derivation of Bernoulli's equation for fluid flow takes certain as\" \/>\n<meta property=\"og:description\" content=\"Bernoulli's equation includes a term (gh or \u03c1gh) that specifically accounts for the effect of gravity on the fluid's potential energy. Therefore, the assumption that gravitational forces can be neglected is incorrect; rather, gravity is included in the derivation. Bernoulli's equation is derived from the application of the conservation of energy principle to fluid flow under specific idealizing assumptions. These assumptions typically include that the fluid is incompressible, the flow is steady, inviscid (no viscous forces or internal friction), and often irrotational (negligible turbulence). 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