Problem 3: Velocity profile for Non-Newtonian Fluid in a Pipe The stress rate of shear for a non-Newtonian fluid flowing inside a pipe with a radius Ro is given by: dv T= K Equation (*) dr Where K and n are constants. (a) Sketch the system above and show the coordinates and the origin point. (b) Find the relationship between velocity and the radial positionr for this incompressible fluid at steady state. Hint: Combine the equation above with the equation below. You also need to manipulate the equation such as the dv/dr will be on one side and the rest of the stuff on the other side. Solve the resulting differential equation with the B.C. of at r=Ro, Vx=0. Po-Pr 2L (c) Derive the expression for Vx-max. (d) Derive the expression for Vx-av. (e) Calculate the shear rate equation (*) at r=Ro (f) Calculate the drag force acting on the Ro surface

Q: Q2. Use the 1/7 power-law profile and Blasius's correlation for shear stress to compute the drag…

A:

Q: 4. Rework inviscid flow past a cylinder in terms of the stream function y.

A: The inviscid flow past a cylinder in terms of stream function is to be mentioned.

Q: A fluid whose apparent viscosity increases with shear rate is termed as the fluid. Viscous…

A: Viscosity is a fluid [property. This property studies liquid motion behavior. The measure of the…

Q: 1. Define the physical meaning in each following term of the equations: a) Equation of continuity…

A: Equation of Continuity is based on the principle of conservation of mass, while the equation of…

Q: 1) Consider the infinitely tall, annular mixing tank. The fluid to be mixed is between the inner…

A: Given: Fluid is mixing in an annulus between inner cylinder and outer wall Inner cylinder angular…

Q: The velocity distribution for laminar flow between parallel plates is given by 2 Umax h where h is…

A:

Q: -1. An incompressible fluid is flowing at steady state in the annular region (i.e., torus or ring…

A: Given Incompressible fluid Take inner radius = r2 Outer radius = r1

Q: (а) Build the four II groups for this problem (let p, µ, and D be the wilds). (b) What is the ratio…

A: (A) Vc = f ( D, dP, g, ρf, μ, ρP) There are 7 variables Vc, D, dP, g, ρf, μ, ρP There are 3…

Q: In order to understand all issues regarding the analysis of flow around a sphere, first (a) Argue…

A: Hello!  Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: . I change my experiment around a bit, so that it will allow me to change the viscosity of the fluid…

A: a)Reynolds number is given as Re=ρuDμ Where ρ- Density of fluid μ- Dynamic viscosity u- Average…

Q: An incompressible fluid is flowing at steady state in the annular region (i.e., torus or ring…

A: Given Incompressible fluid in coaxial cylinders

Q: A liquid flows under steady state conditions along an open channel of a fixed inclined planeto the…

A: Given Question is explained in detail.Explanation:Step 1: a) Factors affecting the depth of the…

Q: The distance between the two stationary parallel plates of a fluid is h. Both plates have width W…

A: The schematic diagram for the flow of fluid between parallel plates with all the given information…

Q: 1. An incompressible fluid of kinematic viscosity v= p/p = 10-4 m²/s flows steadily through a…

A: “Since you have posted a question with multiple sub-parts, we will provide the solution only to the…