A one-parameter family for the velocity distribution in the boundary layer may be expressed by U -1-e+k(1-e-sin(7) 03 · e¯* + k (1 − e¯* − sin²™n), и 1-e-ke 357 where ny/8. Show that the velocity profile above satisfies the following boundary conditions: (a) y = 0: u 0, and = 0 (b) yu u=U, and au/y = u/ay=0 and determine k from an appropriate boundary condition.

A one-parameter family for the velocity distribution in the boundary layer may be expressed by U -1-e+k(1-e-sin(7) 03 · e¯* + k (1 − e¯* − sin²™n), и 1-e-ke 357 where ny/8. Show that the velocity profile above satisfies the following boundary conditions: (a) y = 0: u 0, and = 0 (b) yu u=U, and au/y = u/ay=0 and determine k from an appropriate boundary condition.

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

See similar textbooks

Similar questions

please answer quickly
Please I need the answer for this question
he velocity at apoint in aflued for one-dimensional Plow wmay be aiven in The Eutkerian coordinater by U=Ax+ Bt, Show That X Coordinates Canbe obtained from The Eulerian system. The intial position by Xo and The intial time to zo man be assumeal · 1. x = foxo, yo) in The Lagrange of The fluid parficle is designated
Fluid Mechanics
Please answer the following question
Find the flow behavior index values for a viscometer for the fluid that gives the following apparent viscosity values versus different shear rates? Explain what is the fluid behavior type? silding speed (1/s) Apparent Viscosity (cP)
Perform the convective on velocity vectors u in cylindrical coordinates : Du/Dt
(a) Show that in the limit kd < < 1 the pressure field (6.8.6) 2A p(r,0,t)~~—cos(kdsino)e r reduces to 2A j(wt-kr) p(r,0,t)~~—e r boundary? j(wt - kr) 9 (rigid boundary), 6.8.6 (b) What effect does the presence of the boundary have on the sound pressure level observed (many wavelengths away) for the same source in the absence of the
The properties of mercury at 300 K are Density = 13529 kg/m³. c = 0 1393 kJ/kgk dynamic viscosity = 0 1523 x 102 Ns/m² and thermal conductivity = 8 540 W/mK . What is the Prandtl number of the mercury at 300 K?
Consider a two-dimensional flow in the upper half plane of (x, y) bounded below by a Fid plate coinciding with the x axis. At t= 0 the plate suddenly moves in the tangential direction at constant velocity 'U'. The velocity distribution of the flow is y erf(- 2vt obtained as u=U|1- Using the properties of the error function i) verify whether u is satisfying the conditions: (a) u=U at y=0_(for t20) (b) u=0 as y→0 (for t>0) (for V y) (c) u=0 at t=0 du ii) determine the stress at wall using the condition T (0,1)=µ dy ly-0 Once you upload files from your second device, click on C Sync to check your submission Camera
9 of the diffusion Term of The The Expression below is part Nallier-Stokes equation in spherical coordinates. what are units of this term I given it is dynamic viscosity [Pa-s] T A partial derivative behave the same as a full devevarive. 2 дио r² sin(0) do unit ? Expression: anshuar: T ris position, is velosity: A does not have dimension Mf-
IRCIC Next Generat... A TASHRM The velocity field for a fluid flow is given by following expression: V (0.2x² +2y+2.5)i +(0.5x+2y -6)j+(0.15x +3y + z)k The strain tensor at (2,1,-1) will be: 0.8 1.25 0.30 a)-1.25 -4 0.30 -1 0.8 1.25 0.70) b) 1.25 4 2 0.30 -2 0.8 1.25 0.30 c) | 1.25 4 -2 0.30 -2 0.8 1.25 0.30 O Tvne aere to search