5 4. When a cylindrical filament is stretched slowly in the absence of external bodyforces the steady state elongation flow is given as:v = éz; v,= --ér; ve = 0where é is the elongational rate. Verify that the velocity distribution satisfies thecontinuity equation and show that for an incompressible Newtonian fluid, thesteady elongational flowTy = Toe = -né; T = 2né

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Answered: forces the steady state elongation flow…

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter6: Forced Convection Over Exterior Surfaces

Section: Chapter Questions

Problem 6.34P

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A fluid has a kinematic viscosity ν=15x10-6 m2 s-1 and a density ρ=1 kg m-3. In a given industrial application we have a straight, circular pipe of radius 0.1 m and length 11.8 m. A pressure drop of Δp=4.8 Pa is imposed to drive the flow. Assuming a fully developed and steady state flow in the entire pipe, find the wall shear stress magnitude in SI units? Give your answer to three decimal places.
Consider a 2-dimensional incompressible flow field. The vertical component of velocity forthe flow field is given by 2y. The pressure at (x, y) = 0,0 is given by 3 bar absolute. The densityof the fluid is 1.2 Kg/m3 . Find. a) x-component of velocity; b) acceleration at point (x, y) = 2,1;c) pressure gradient at the same point; d) pressure gradient along the x-axis; e) check whetherthe flow is irrotational; f) find the potential function; g) find the stream function; h) equationfor streamline and sketch few streamlines.
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