Fall 2019

Maximum Marks: 10

Due Date: December 4, 2019

INSTRUCTIONS

Please read the following instructions before attempting the solution of this assignment:

• To solve this assignment, you should have good command over lecture # 12-17

• Try to get the concepts, consolidate your concepts and ideas from these questions which you learn in these lectures. You should concern the recommended books for clarification of concepts.

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Question: 1 Marks: 8+2

Consider the following steady, two dimensional velocity field:

V = (u, v) = y2 i + (1+y2) j

a) Generate an analytical expression for the flow streamlines

b) Draw several streamlines from x = -4 to 4 and y = -4 to 4.

Note:

You may use the link to plot the streamlines.

Question2 Marks: 10

A 3kg plastic tank that has a volume of 0.2m3 is filled with liquid water. Assuming the density of water is 1000kgm-3determine the weight of combine system.

**Solution:**

Assumption The density of water is constant throughout.

mwater= ρV=(1000 kgm-3)( 0.2 m3)=200kg 3 Marks

mtotal= mwater + mtank=200kg + 3kg = 203kg 3 Marks

W=mg=(203 kg)(9.81ms-2)=1991.40N ≈ 1990N (up to 3 significant digits) 4 Marks