The kinematic viscosity (v = %) of a fluid is often referred to as a momentum...
4. An incompressible fluid with viscosity u and density p was contained in pipe of length L and radius R. Initially the fluid is in rest. At t=0, a pressure difference of AP is applied across the pipe length which induces the fluid flow in axial direction (V2) Only varies with time (t) and pipe radius (r). There is no effect of gravity. To describe the fluid flow characteristics, after the pressure gradient is applied, answer the following questions: a)...
An incompressible fluid flows between two porous, parallel flat plates as shown in the Figure below. An identical fluid is injected at a constant speed V through the bottom plate and simultaneously extracted from the upper plate at the same velocity. There is no gravity force in x and y directions (g-g,-0). Assume the flow to be steady, fully-developed, 2D, and the pressure gradient in the x direction to be a constant P = constant). (a) Write the continuity equation...
Please make the hand writing legible. Thanks Consider the situation depicted below, in which an incompressible fluid flows over a flat surface of solid. Upstream of the surface, the fluid has velocity U and uniform temperature To. As the fluid is viscous, both a momentum boundary layer, and a thermal boundary layer form, and heat is transferred to the solid surface. A convective coefficient h can be used to describe the dimensional heat transfer rate to the solid, and is...
A semi-infinite body of liquid, with constant density and viscosity, is bounded below by a horizontal surface. Initially, the fluid and solid are at rest. Then at time t = 0, the solid surface is set in motion in the positive x direction with a constant velocity vo = 10 m/s, as shown in Figure 4-1. y y = 5 cm t< 0 y = 0 cm Fluid at rest у y = 5 cm t = 0 y =...
fr the falling fm . Lerive anl vcloci Pey o 42) assumin 5 usinte equatienmtion (6.5-3), niam ity, average velocity, or force on solid surfaces. tion appear, and In the integrations mentioned above, several constants of integration a the velocit stress at the boundaries of the system. The most commonly used boundae are as follows: using "boundary conditions"-that is, statements about a. At solid-fluid interfaces the fluid velocity equals the velocity with which surface is moving: this statement is applied...