Mechanical and Materials Engineering Homework Solutions

Hydrostatic Pressure - where did I go wrong?

Determine the force due to hydrostatic pressure acting on the hinge of the gate shown. The fluid density is d and the width of the elliptical gate (out of the page) is 6H. (I have attached the picture provided) This is the approach I took: F=dg(h*)A d = density g = gravitational constant h* = h bar, the hei ...continues

Hydrostatics problem

Consider a square gate of side h that can rotate about a pivot as shown. Determine the depth of the gate's top, H, at which the gate will open if hp=(4/9)h. This is the approach I have taken: F=dgZA where d=density and Z is z bar F=dg(H+h/2)h^2 I found the zcp of center of pressure for the Force to be at Z+I/(ZA) = ...continues

ENGR 30301 Fluid Mechanics Textbook: Fluid Mechanics, 9th edition

Air at 22C and at pressure of 120 kPa is flowing over a flat plate with a velocity of 4.5 m/s. If the plate is 50 cm wide and the surface in contact with the air is at 82C, calculate the following quantities at x = 42 cm: (a) the local friction coefficient; (b) the average friction coefficient; (c) the drag force; (d) the local ...continues

Mass-flow rate

Consider a flow for which the velocity vector is: u=(U/L)(xi-2yj+zk) Compute the mass-flow rate across a plane of area A that is perpendicular to the x axis and lies at x=3L. The fluid density is d. I know that the mass-flow rate, M, is calculated by: M=Double integration [d(u*n)]dA I am having trouble setting up the i ...continues

Fluid Mechanics - Atomic Bomb Explosion

During World War II, Sir Geoffrey Taylor, a British fluid dynamicist, used dimensional Analysis ... wave speed of an atomic bomb explosion. See attached file for full problem description.

Flow Past Immersed Bodies

Flow Past Immersed Bodies. See attached file for full problem description.

Dimensional Analysis and Similarity

Dimensional Analysis and Similarity See attached file for full problem description.

Flow past immersed bodies

Flow past immersed bodies. See attached file for full problem description.

Simple Fluid Mechanics

You have a liquid sitting between 2 plates. A shear stress is applied to the top plate causing it to move. (the bottom plate is rigid) This fluid has a yield stress (ty) bellow which it will not move. Assume that the liquid, where in contact with the plate, moves at the same velocity as the plate. Also assume that the fluid h ...continues

Determine the design air mass flow required to handle 12,000 litres/min of cooling water?

Water enter a cooling tower at 400C and drops 150C of temperature before exit. The tower receives atmospheric air at 200C and 40% relative humidity. The air leaves the tower at 350C and 95% relative humidity. If the atmospheric pressure is 1.01325 bar determine the design air mass flow required to handle 12,000 litres/min of ...continues

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