Consider a sphere of radius R immersed in a uniformstream Uo, as shown in Fig. P4.7. According to the theoryof Chap. 8, the fluid velocity along streamline AB isgiven byV = ui = U, (1+Find (a) the position of maximum fluid acceleration alongAB and (b) the time required for a fluid particle to travelfrom A to B.B(Sphere*=-4RP4.7

The given velocity function is The acceleration of the fluid can be calculated as,

Answered: Consider a sphere of radius R immersed…

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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fluid mechanics experts please solve with details and give reasons for steps if needed. parts a b and c are solved . the link is https://www.bartleby.com/questions-and-answers/a-steady-two-dimensional-flow-of-a-constant-density-fluid-in-the-horizontal-plane-is-described-by-v-/2127bd8c-3112-41c4-9c8e-247051c33042
Use the Shell Balance approach for Momentum conservation, create a sketch of a control volume in Cartesian coordinates, and indicate all fluxes and forces in your sketch. Use this Shell Balance to derive the following Momentum conservation equations. Ju x-motion: p(u + v) = -x + +μl ax ax y-motion: p(u Əv + v) = - 3² - ду μ (a²u Əx² a²v əx² J²u + + Bx ay², +372) + By
Q.3 The velocity components in the x and y directions of a two dimensional is equal to potential flow are u and v, respectively. Then (a) (b) ax (c) (d) ay
Question 3 Consider the two-dimensional incompressible velocity potential O = xy + x² – y2 a) Show that this flow is irrotational. b) Find the stream function Y(x, y), if Y(0,0) = 0 .
i need the answer quickly
Q1 (a) If a flow field is compressible, what can you say about the material derivative of density? What about if the flow field is incompressible? Explain your answer.
In plane stagnation flow, an incompressible fluid occupying the space y>0 has one velocity component given by Vx-x. The flow is two-dimensional and steady, such that V₂=0 and nothing depends on z or time t. (a) Use the continuity equation to determine Vy(x,y), given that Vy(x,0) =0. (This condition for Vy corresponds to the plane y=0 being an impenetrable boundary.) (b) is arbitrary, so you may set Y=0 at any convenient location.) Determine the stream function for this flow, (x,y). (The absolute value of
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6. Find the stream function associated with the two-dimensional incompressible, possible flow with velocity components given by 6(1-) cos e and ug =- a2 U, = b1 r2 a? sin 0 r2 Where a, and b are known constants.
A fluid flow is described (in Cartesian coordinates) by u = x2, v = 4xz. (a) Is this flow two-dimensional or three-dimensional? (b) Is this flow field steady or unsteady? (c) Find the simplest form of the z-component of velocity if the flow is incompressible.
The tank of water shown below is 15 cm wide into the paper. The tank is accelerated in rigid- body motion at 9 m/s² in x-direction (right) and 2 m/s“ in z-direction (upwards). Assume no spilling. (a) Show with sketch what will happen to surface point B. (b) Find the angle 0 and the new water depth (height) of side AB. (c) Calculate the water force on wall AB. 3 Given: Specific Weight of Water, Ywater = 9790 N/m', Draw sketch and show all calculations. B 20 cm Water at 20°C 36 cm
PLS SHOW ME FULL STEPS SIR PLS ANSWER WITHIN 30 MIN SIR SUBJECT (FLUID MECH 2)

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