Write down the functional relation for the variables

Reference no: EM131514879

Question: Flow in a long straight pipe is turbulent. The average velocity, v, at a distance, y, from the pipe wall depends on roughness height of the pipe, k, the pipe diameter, D, the kinematic viscosity v(v = μ/ρ), the mass density of the flowing fluid, p, and the shear stress at the pipe wall,

a. Write down the functional relation for these variables.

b. Show the dimensional matrix for these variables in an M, L, t system

c. If the functional relation in a is reduced to a complete set of dimensionless products, how many products are there?

d. Determine the dimensionless products using the systematic algorithm (use v, y, p as the subset of Qs).

Reference no: EM131514879

Questions Cloud

Maintenance cost should be included in the cost of leasing : As well as the opinion on whether or not operating and maintenance cost should be included in the cost of leasing.

Estimate length need to reach fully developed flow for water : The boundary layer which forms at the entrance to a circular pipe may be considered to behave like the boundary layer on a flat plate.

What is the best estimate of current stock price : The firm's required return (rs) is 12.0%. What is the best estimate of the current stock price?

The four contemporary approaches to management : Explain how the four contemporary approaches to management are different from one another.Define open systems and describe the internal environment.

Write down the functional relation for the variables : Flow in a long straight pipe is turbulent. The average velocity, v, at a distance, y, from the pipe wall depends on roughness height of the pipe, k.

Identify a process : Identify a process; any process will suffice. Document the process (create a process diagram).Discuss how you would apply ‘TOC' principles to the process.

Discuss the bernoulli theorem : For uniform flow in open channel, Bernoulli's equation for energy loss.

Discuss competition within intermodal transportation : Discuss competition within intermodal transportation.Discussion may include strategies, the impact of regulation/deregulation, competition.

Find the dimensionless groups by inspection with restriction : In heat transfer problems with flowing fluids, frequently the six variables, D, p, h, v, µ, k, may be combined into dimensionless groups.

User Account

All Pages