A fluid of density p is rotating with constant angular velocity w about the central vertical axis of a cylindrical container.(a) Show that the variation in pressure in the radial direction is given bydP= pwr.dr(b) If the pressure is at the axis of rotation (r = 0) is Pc, show that the pressure P(r) at any point r is given by1P(r) = P. + pw²r?.(c) Show that the liquid surface is a paraboloid: the horizontal cross section of the liquid is a circle and the verticalcross section is a parabola given byw?r2y =2gNote: This is a “problem to prove." Your objective is to construct a proof or rational argument based on principles ofphysics and mathematics that connect given or known information to the stated result.r

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Description: A fluid of density p is rotating with constant angular velocity w about the central vertical axis of a cylindrical container.(a) Show that the variation in pressure in the radial direction is given bydP= pwr.dr(b) If the pressure is at the axis of r

The above question is a case of forced vortex flow. Vortex fluid is defined as flow of fluid along…

Engineering

Mechanical Engineering

A fluid of density p is rotating with constant angular velocity w about the central vertical axis of a cylindrical container. (a) Show that the variation in pressure in the radial direction is given by dP = pw²r. dr (b) If the pressure is at the axis of rotation (r = 0) is Pc, show that the pressure P(r) at any point r is given by P(r) = P. + 5pa?r?.

A fluid of density p is rotating with constant angular velocity w about the central vertical axis of a cylindrical container. (a) Show that the variation in pressure in the radial direction is given by dP = pw²r. dr (b) If the pressure is at the axis of rotation (r = 0) is Pc, show that the pressure P(r) at any point r is given by P(r) = P. + 5pa?r?.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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