Fluid Mechanics Exam Prep
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Fluid Mechanics Exam Prep
English 21 leveled MCQs Free
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10 marks Long answer
State and Prove continuity equation A1V1 = A2V2.
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The continuity equation states that mass flow rate is constant in a closed system.
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10 marks Long answer
Describe different types of fluid flow line.
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Types include streamlines, pathlines, and streaklines, each representing different flow characteristics.
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10 marks Long answer
Obtain an expression for continuity equation for a three dimensional flow.
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The expression is derived from the principle of conservation of mass in three dimensions.
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10 marks Long answer
Describe velocity potential function & stream function.
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Velocity potential function describes potential flow; stream function describes flow patterns.
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10 marks Long answer
The diameters of a pipe at the sections 1 and 2 are 10 cm and 15 cm respectively. Find the discharge through the pipe if the velocity of water flowing through the pipe at section 1 is 5 m/s. Determine also the velocity at section 2.
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Discharge Q = A1V1; velocity at section 2 is calculated using A2 and continuity equation.
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10 marks Long answer
A 30 cm diameter pipe, conveying water, branches into two pipes of diameters 20 cm and 15 cm respectively. If the average velocity in 30 cm diameter pipe is 2.5 m/s, find discharge in this pipe. Also determine the velocity in 15 cm pipe if the average velocity in 20 cm pipe is 2 m/s.
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Discharge is calculated using Q = A * V; velocities are determined using continuity equation.
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10 marks Long answer
The velocity vector in a fluid flow is given V = 4x^3i – 10x^2yj +2tk, find the velocity and acceleration of a fluid particle at (2, 1, 3) at t = 1.
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Velocity and acceleration are found by substituting the coordinates into the velocity vector and differentiating.
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4 marks Medium answer
What is a continuum flow & free molecular flow?
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Continuum flow assumes fluids are continuous; free molecular flow occurs at very low densities.
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4 marks Medium answer
What is Uniformly and non-uniform flow? Give an example of uniform flow.
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Uniform flow has constant velocity; non-uniform flow has varying velocity. Example: flow in a straight pipe.
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4 marks Medium answer
What is rotational flow & irrotational flow? What is the condition for irrotational flow?
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Rotational flow has vorticity; irrotational flow has zero vorticity. Condition: curl of velocity is zero.
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4 marks Medium answer
What is compressible flow & incompressible flow? Give an example of compressible flow & incompressible flow.
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Compressible flow involves density changes (e.g., gas); incompressible flow assumes constant density (e.g., water).
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4 marks Medium answer
Define Streamline, Path line and Streak line.
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Streamline is the path of fluid particles; path line is the trajectory of a particle; streak line is the line of particles passing a point.
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4 marks Medium answer
Define One, two and three dimensional flow.
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One-dimensional flow varies in one direction; two-dimensional flow varies in two directions; three-dimensional flow varies in all three directions.
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4 marks Medium answer
Can fluid flow across the surface of a stream tube?
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No, fluid cannot flow across the surface of a stream tube.
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2 marks Short answer
What are the methods of describing fluid flow?
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Methods include streamlines, pathlines, and streaklines.
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2 marks Short answer
Define compressible flow & incompressible flow.
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Compressible flow involves significant density changes; incompressible flow assumes constant density.
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2 marks Short answer
What is a stream tube?
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A stream tube is a collection of streamlines that form a tube-like structure.
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2 marks Short answer
What is Steady flow?
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Steady flow is when fluid properties at a point do not change over time.
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2 marks Short answer
What is unsteady flow?
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Unsteady flow occurs when fluid properties at a point change with time.
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2 marks Short answer
What is Laminar flow?
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Laminar flow is characterized by smooth and orderly fluid motion.
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2 marks Short answer
What is turbulent flow?
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Turbulent flow is chaotic and characterized by eddies and vortices.
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