Q:Consider the unsteady mass conservation equation (1.5) as it mightdescribe the flow accelerating through a duct with a variable cross section.If the largest velocity gradient measured locally is du/dx and the largestdensity gradient is dpldx, what order-of-magnitude relationship mustexist between du/dx and dpldx for the simplified equation (1.8) to beapplicable?apap+paxapapduavHint 1:aw+= 0az+uatax(1.5)+ v.+w.дуazдуduawHint 2:ax(1.8)ду

Write the generalized continuity equation or the unsteady mass conservation equation given in the…

Answered: Consider the unsteady mass conservation…

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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Problems): Consider incompressible Newtonian fluid flow between parallel plates (Fig. 2) that are horizontal and a distance h apart. A constant pressure gradient is applied in the x-direction (dp/dx). The flow is fully developed laminar and steady. The plate width is denoted by B. Simplify the governing equations (4) b) Determine the velocity profile p a) c) Develop an expression for the flow rate Continuity Equation 26 + 24 (pu) + 2/5 of Momentum Equations Pfx PSY ap ax + μl ap + pl ay ap + ax (pv) + ax + + a²u ay + + (pm²) = 0 = = P dv at ar + 11 + 11 + u du əx In Əx + v + v + v dv dy du dy + w + w Fixed Fig. 2: Flow between parallel plates with a constant pressure gradient + w du Iv əz JH əz ↑ 1 Fixed ↑ Umas h
Suppose you have crude oil flows through an annulus between two horizontal pipes with the same center, if the velocity distribution, and the average velocity Vavp are expressed by: R R In (R₂/R.) (F)] In- 4μl. R-R ΔΡ SµL R+R In(R./R) Where AP: is the pressure drop through the annulus, u: is the fluid viscosity, L: is the pipe length, R, and R₂: are the inside radius of inner and outer pipes, respectively. Write a program in a script file that calculates the velocity distribution and the average velocity. When the script file is executed, it requests the user to input AP. u. L. R, and R₂ where r has many values between R₁ and R₂. The program displays the inputted values and the calculated average velocity (using fprintf) followed by a table with the values r in the first column and the corresponding values of the velocity distribution in the second column.
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3.3 Verify whether or not the following difference representation for the continuity equation for a 2-D steady incompressible flow has the conservation property: (u, 1.j + u;41.j-1 - u.; – 4j.j-1) (1,j – 41,j-1) 2 Ax Ay where u and v are the x and y components of velocity, respectively. 3.4 Repeat Prob. 3.3, for the following difference representation for the continuity equation: (4i+ 1,5 - Uj-1,) (u, j+1 - V,j-1) + 2 Ax 2 Ay
The radius of the blood vessel is 0.9 cm with a viscosity and density of 0.004 kg/(m-sec) and 1010 kg/m^3. Find the Reynolds number if the flow velocity is 0.18 m/sec? 1018 918 618 718 818 Kinematic similarity is about similarity of ...
1. Consider a flow with the velocity profile shown in the image below. Here, U is called the freestream velocity and & is called the boundary layer thickness. Calculate the shear stress acting on the fluid surface if the freestream velocity is 10 m/s, the boundary layer thickness is 2 mm, and the fluid's dynamic viscosity 10.³ Pa.s. fluid surface U.. 8
2:35 A U * N a 95%i This document contains ink, shapes and im.. Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle NAME: DATE: width port 1 & 3 6.3960E-03 (m) width port 2 & 4 2.8750E-02 (m) depth all ports 7.0060E-03 (m) air density 1.1929 (kg/m³) Cross sectional area Data Sheet: F9a: Fluid Mechanics & Bernoulli's Principle NAME: DATE: Density of Air: 1.2129 kg/m3 Table 1: Measured Data for Apparatus 6.3960E-03 m Chamber Width Port 1 & 3 2.8750E-02 m Chamber Width Port 2 & 4 7.0060E-03 m Chamber Depth at all Ports Width Depth
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