Derive the following radial diffusivity equation using the three laws that describe fluid flow in porous...
4. After examining the following formulation, describe the fluid-flow problem and the porous media fully, from these perspectives: (20 pnts) Flow dimension? >Flow geometry? Number of phases/components? Is gravity significant? Are there source/sink terms? >Is the formation homogeneous/heterogeneous? Do we have isotropy/anisotropy? Write water equation in term of Po and So: kro apo kro apo 을(asw 4. After examining the following formulation, describe the fluid-flow problem and the porous media fully, from these perspectives: (20 pnts) Flow dimension? >Flow geometry?...
Starting from the species mass balance derive the reaction-diffusion equation where D is diffusivity. Identify all variables and state all assumptions Pa = -5 (pava) +re at Pdt =pDag V-wa+r
Radial flow between two coaxial cylinders. Consider an incompressible fluid, at constant temperature, flowing radially between two porous cylindrical shells with inner and outer radii xR and R (a) Show that the equation of continuity leads to V C/r where C is a constant (b) Simplify the components of the equation of motion to obtain the following expressions for the modified-pressure distribution: ds dr dz (c) Integrate the expression for dP/dr above to get (d) Write out all the nonzero...
ABCD plesse!!!! 3B.11 Radial flow between two coaxial cylinders. Consider an incompressible fluid, at constant temperature, flowing radially between two porous cylindrical shells with inner and outer radii KR and R. (a) Show that the equation of continuity leads to v, C/r where C is a constant. (b) Simplify the modified pressure distribution: the components of the equation of motion to obtain the following expressions for (3B.11-1) dz
Name the three conservation laws that are used to analyse the flow of fluids. Write down the equation for each of these laws defining all symbols used. (a) Name the three conservation laws that are used to analyse the flow of fluids. Write down the equation for each of these laws defining all symbols used. (a)
2. (i)Describe with neat sketches the meanings of streamlines, pathlines and streaklines. (6 marks) (Gi) Derive the equation of the streamlines for the following flow field and sketch them. (4 marks) (iii) A flow field is given as (a) Determine the z-component of velocity assuming the flow field is for an incompressible fluid. (4 marks) (b) Determine the velocity and acceleration at the point (1,2,3) at time t-1. (6 marks) Assume that the z-component of velocity at z-0 is zero....
Derive the Bernoulli equation, and derive the equations for reading the Volume flow rate (Q) using the following. - orifice - venturi - pitot - coriolis
hi i am in a fluid dynamics class and need some help with the question attached. please be specific and write out all steps so i know how to do the problem. A belt moves upward at velocity V, dragging a film of viscous liquid of constant thickness h. Near the belt, the film moves upward due to no slip. At its outer edge, the film moves downward due to gravity. - liquid dynamic viscosity: u density:P belt 1- Using...
Derive time equation but for that first we have to derive acceleration using the following equations: [1] mg*sin(θ) – fs = ma [2] Rfs = Iα [3] I = cmR2 [4] α = a/R Once we have derived acceleration in terms of sin(θ), g, and c , we are then asked to derive time based on kinematic equation. The time equation should be based on of y, c, g, and d. d=length of Ramp.y=Height of ramp.
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)...