mProblem 6: The top wall moves with velocity Vtop= 1Sand the bottom wall isstationary. Inside there is a layer of water and a layer of oil on top. Both layers have thesame thickness and the total thickness is h=2m. The flow is incompressible, laminar andsteady and both fluids are Newtonian. The viscosity of water is uw =|10-3)Pa s and thedensity is Pw103 Kg. The viscosity of oil is He10-1 Pas and the density is Po3°kgtit700-{There is no pressure gradient./The width is w= 5m.m3Veaph=2mwater a) Write the Continuity equation and Navier Stokes equation in the direction of theflow for both water and oil and simplify them, indicatingassumptions/approximations/conditions.b) Find the solution of the velocity profile for water and oil with undeterminedconstants.c) Apply boundary conditions at the top and bottom walls.

Two walls are there in the question as per the question top walls move with a certain velocity while…

Answered: m Problem 6: The top wall moves with…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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m
Problem 6: The top wall moves with velocity Vtop
= 1
S
and the bottom wall is
stationary. Inside there is a layer of water and a layer of oil on top. Both layers have the
same thickness and the total thickness is h=2m. The flow is incompressible, laminar and
steady and both fluids are Newtonian. The viscosity of water is uw =|10-3)Pa s and the
density is Pw
103 Kg. The viscosity of oil is He
10-1 Pas and the density is Po
3°
kg
tit
700-
{There is no pressure gradient./The width is w= 5m.
m3
Veap
h=2m
water

Transcribed Image Text:a) Write the Continuity equation and Navier Stokes equation in the direction of the flow for both water and oil and simplify them, indicating assumptions/approximations/conditions. b) Find the solution of the velocity profile for water and oil with undetermined constants. c) Apply boundary conditions at the top and bottom walls.

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