Moment of Inertia : Trapezoidal Plate Submerged in a Liquid
A symmetrical trapezoidal plate has the following dimension: The widths of the parallel sides are, respectively 2.5 ft. and 4.5 ft; the perpendicular distance between those sides is 1.5 ft. The plate is submerged in a liquid in a vertical position with the parallel sides horizontal and the shorter parallel side at the top and ex ...continues
Potential Flow Theory : Pressure Distribution, Bernoulli's Theorem and Flow Patterns
Consider the flow past a circular cylinder... Plot the pressure coefficient Cp along the surface of the cylinder versus θ for O≤θ≤ pi i What is the value of Cp at θ=5O° ii At what point around the cylinder’s surface will the static pressure equal the freestream pressure. iii If one combines a sou ...continues
(See attached file for full problem description) --- The complex potential of a two-dimensional motion is... ---
Potential Flow Theory : Conformal Transformation and Velocity on the Surface of an Ellipse
a) Show that if b ...continues
A plane flying with a constant speed of 36 km/min passes over a ground radar station at an altitude of 19 km and climbs at an angle of 50 degrees. At what rate is the distance from the plane to the radar station increasing 3 minutes later? (Do not use a calculator.)
Viscous Fluid Flow : Viscous Drag on the Walls of a Pipe
For laminar flow in the entrance of to a pipe, as shown in figure, the entrance is uniform u=U0, and the flow downstream is parabolic in profileu(r)=C(r0^2-r^2). Using integrla relations, show that the viscous drag exerted on the pipe walls between 0 and x is... Prescribed text book: White, FM, , Viscous Fluid Flow, 2nd Editi ...continues
Describe the additional assumptions , conditions ,and steps required to derive the Navier-Stokes Equations from the momentum equations. Use as little mathematics as possible.
Solutions of Newtonian Viscous Flow Equations : Terminal Velocity and Creeping Motion
3-34. A sphere of specific gravity 7.8 is dropped into oil of specific gravity 0.88 and viscosity = 0.15 Pa s. Estimate the terminal velocity of the sphere if ts diameter is (a) 0.1 mm, (b) 1 mm, and (c) 10 mm. Which of these is a creeping motion?
Solutions of Newtonian viscous flow equations - plane stagnation
Prescribed textbook: Viscous Fluid Flow, 2nd Edition, F. M. White In the attached document. Please show me in detail (use maths) how to obtain the equation 3-149 from 3-148 and how to obtain equation 3-151 from 3-150.
(See attached file for full problem description)
