Q.4A steady, uniform-density, 2-D flow is to be calculated on the square grid shown below.The boundary velocities are given as; v₁ =30, V = 40,uc=100, u = 50, u = 200,u, = 210, V = 0 and v₁ = 20. Among these numbers, there is some doubt aboutcorrectness of the value of u,. If all other numbers are correct, what should be the correctvalue of u,?The internal velocities are governed by simplified momentum equations given by:up = 70+0.5 (P₁-P₂)u, = 10 +0.7 (P3-P4)V =30+0.5(P3-P₁)VG =18+0.8(P₁-P₂)Write discretized continuity equation for each control volume. Derive the discretizationequation for pressure by substituting from momentum equations, following SIMPLERcalculation procedure. Solve the pressure equations to obtain P₁, P2, P3 and P₁. Henceobtain values of up, u, V and VG

2-D vA = 30vB = 40uC = 100uE = 50uH = 200uf = 210vk = 0vL = 20uD = 70 + 0.5 p1 - p2 ul = 10 + 0.7…

The boundary velocities are given as; v₁ =30, V₁ = 40,uc=100, up u, 210, v = 0 and v₁ = 20. Among these numbers, there is so correctness of the value of u,. If all other numbers are correct, what sho value of u,? The internal velocities are governed by simplified momentum equations " 70+05(n = n - 10+0762

The boundary velocities are given as; v₁ =30, V₁ = 40,uc=100, up u, 210, v = 0 and v₁ = 20. Among these numbers, there is so correctness of the value of u,. If all other numbers are correct, what sho value of u,? The internal velocities are governed by simplified momentum equations " 70+05(n = n - 10+0762

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

Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2 (2116 lb/ft2), respectively. Derive the velocity potential for a doublet.
Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2(2116 lb/ft2), respectively. Prove that the flow field specified is not incompressible;i.e., it is a compressible flow as stated without proof .
Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2 (2116 lb/ft2), respectively. Consider the lifting flow over a circular cylinder of a given radius and witha given circulation. If V∞ is doubled, keeping the circulation the same,does the shape of the streamlines change? Explain.
Air flows at 1.2 m/s along with a flat surface when it encountersa jet of air issuing from the horizontal wall at point A, as inFig. P8.16. The jet volume flow is 0.4 m3/s per unit depthinto the paper. If the jet is approximated as an inviscid linesource, (a) locate the stagnation point S on the wall.(b) How far vertically will the jet flow extend into the stream?
Nadeen is washing her car, using a nozzle similar to the one sketched in fig The nozzle is 3.90 in (0.325 ft) long, with an inlet diameter of 0.420 in (0.0350 ft) and an outlet diameter of 0.182 The volume flow rate through the garden hose (and through the nozzle) is V. = 0.841 gal/min (0.00187 ft3/s), and the flow is steady. Estimate the magnitude of the acceleration of a fluid particle moving down the centerline of the nozzle.
6 For incompressible flow, density remains the same Select one: True False
Water at 20°C flows past a 1-m-diameter circular cylinder.The upstream centerline pressure is 128,500 Pa. If the lowestpressure on the cylinder surface is exactly the vaporpressure, estimate, by potential theory, the stream velocity.
Let the vortex/sink flow of Eq. (8.16) simulate a tornado as inFig. . Suppose that the circulation about the tornado isΓ = 8500 m2/s and that the pressure at r = 40 m is 2200 Paless than the far-field pressure. Assuming inviscid flow at sea-leveldensity, estimate (a) the appropriate sink strength 2m,(b) the pressure at r = 15 m, and (c) the angle β at which thestreamlines cross the circle at r = 40 m (see Fig. ).
Assume an inviscid, incompressible flow. Also, standard sea level density and pressure are 1.23 kg/m3 (0.002377 slug/ft3) and 1.01 × 105 N/m2 (2116 lb/ft2), respectively. Consider a venturi with a small hole drilled in the side of the throat. Thishole is connected via a tube to a closed reservoir. The purpose of theventuri is to create a vacuum in the reservoir when the venturi is placed inan airstream. (The vacuum is defined as the pressure difference below theoutside ambient pressure.) The venturi has a throat-to-inlet area ratio of0.85. Calculate the maximum vacuum obtainable in the reservoir when theventuri is placed in an airstream of 90 m/s at standard sea level conditions.
Air flows through a 6-cm-diameter smooth pipe that has a2-m-long perforated section containing 500 holes (diameter1 mm), as in Fig. . Pressure outside the pipe issea-level standard air. If p1 = 105 kPa and Q1 = 110 m3/h,estimate p2 and Q2, assuming that the holes are approximatedby thin-plate orifices. (Hint: A momentum controlvolume may be very useful.)
Using cartesian coordinates, show that each velocity component(u, υ, w) of a potential flow satisfies Laplace’sequation separately.
How might the remarkable three-dimensional Taylorinstability of Fig. 4.14 be predicted? Discuss a generalprocedure for examining the stability of a given flowpattern.