Answered: 4. Using Navier-Stokes equation to…

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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$4. Using Navier-Stokes equation to develop velocity profile between two stationary plate for a laminar, fully developed, steady flow. u(y) v = 0; 1 (dP G) v² – hy) u(y) : 2µ \dX, a). Find the expression for average velocity. b). Find the expression for volume flow rate per unit width. c). If x = 100m P = 1 MPa and at x = 110 m P = 800 kPa and h = 1.5 mm. Calculate maximum and average velocities. p = 1000 kg/m², µ = 0.001 Ns/m² d). Calculate the mass flow rate.$

Transcribed Image Text:4. Using Navier-Stokes equation to develop velocity profile between two stationary plate for a laminar, fully developed, steady flow. u(y) v = 0; 1 (dP G) v² – hy) u(y) : 2µ \dX, a). Find the expression for average velocity. b). Find the expression for volume flow rate per unit width. c). If x = 100m P = 1 MPa and at x = 110 m P = 800 kPa and h = 1.5 mm. Calculate maximum and average velocities. p = 1000 kg/m², µ = 0.001 Ns/m² d). Calculate the mass flow rate.

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