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Engineering · Mechanical Engineering
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1.a) What kind of fluid condition is referred to as hydrostatic? Write down the equation for hydrostatic equilibrium in the differential form and the integrated form, briefly explaining the terms involved in each case. [6 marks] b) Which one of the following statements about floating or submerged body is correct, as discovered by Archimedes? A. The buoyant force on a submerged body is equal to the weight of the displaced fluid. B. The buoyant forces are always in the horizontal direction C. The amount of the displaced fluid by a floating body is equivalent to the volume of the body. D. The weight of any submerged body is less than its actual weight. [2 marks] c) Which one of the following statements about a streamline is invariably true? A. Streamlines are defined using the hydrostatic equation. B. Streamlines are lines along which pressure remains constant C. No two streamlines can cross each-other D. Streamlines are orthogonal to a line where stream function is zero. [2 marks] d) The stream function for a two-dimensional flow is defined as ψ-2xy. Show that the flow is irrotational and find the velocity potential. Plot the shape of the streamlines. Give two practical examples where such a flow would occur. [10 marks]

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