Determination of Reynolds Number in Pipe Flow

The Reynolds number is a dimensionless group defined for a fluid flowing in a pipe as Re = Duplu where Dis pipe diameter, u is fluid velocity, p is fluid density, and u is fluid viscosity. When the value of the Reynolds number is less than about 2100, the flow is laminarthat is, the fluid flows in smooth streamlines. For Reynolds numbers above 2100, the flow is turbulent, characterized by a great deal of agitation. Liquid methyl ethylketone (MEK) flows through a pipe with an inner diameter of 2.067 inches at an average velocity of 0.48 ft/s. At the fluid temperature of 20°C the density of liquid MEK is 0.805 g/cm? and the viscosity is 0.43 centipoise [1 cP = 1.00 x 10-³ kg/(m-s)]. Without using a calculator, determine whether the flow is laminar or turbulent. Show your calculations.

Can I have a detailed, step-by-step explanation for the following question? Thank you! The answer is given as, q = sqrt [ (2*sigma*g*h)/(rho) ], which is not the answer I got. Can someone clarify?

Please check over this answer to see if there's anything wrong. (include step-by-step corrections if wrong)

% ParametersD = 0.1; % Diameter of the tube (m)L = 1.0; % Length of the tube bundle (m)N = 8; % Number of tubes in the bundleU = 1.0; % Inlet velocity (m/s)rho = 1.2; % Density of the fluid (kg/m^3)mu = 0.01; % Dynamic viscosity of the fluid (Pa.s) % Define the grid size and time stepdx = D/10; % Spatial step size (m)dy = L/10; % Spatial step size (m)dt = 0.01; % Time step size (s) % Calculate the number of grid points in each directionnx = ceil(D/dx) + 1;ny = ceil(L/dy) + 1; % Create the velocity matrixU_matrix = U * ones(nx, ny); % Perform the iterationsfor iter = 1:100    % Calculate the velocity gradients    dUdx = (U_matrix(:, 2:end) - U_matrix(:, 1:end-1)) / dx;    dUdy = (U_matrix(2:end, :) - U_matrix(1:end-1, :)) / dy;        % Calculate the pressure gradients    dpdx = -mu * dUdx;    dpdy = -mu * dUdy;        % Calculate the change in velocity    dU = dt * (dpdx / rho);        % Update the velocity matrix    U_matrix(:, 2:end-1) = U_matrix(:, 2:end-1) + dU;        % Apply…

The operating conditions found at two different points of a blade on a wind turbine are shown. These conditions were determined at a temperature for which the kinematic viscosity is 1.33 x 10-5m²/s. What are the Reynolds numbers found at each blade section? Wind velocity (m/s) Angle of attack (degrees) Location (r/R) Chord (m) 0.15 15 1.5 0.95 75 0.35 7.5

Your company is setting up an experiment that involves the measurement of airflow rate in a duct and you have to come up with proper instrumentation. Research the available techniques and devices for air flow rate measurement, discuss the advantages and disadvantages of each technique and make a recommendation.

The data given in the accompanying table represents the velocity distribution inside a pipe. Find the equation that best fits the fluid velocity–radial distance data given. Compare the actual and predicted velocity values. Plot the data first.

You have been moved into the laboratory for the fluid testing for hydraulic devices, where your job is to illustrate the results of a viscosity test on a Newtonian fluid at various temperatures and explain discrepancies after completing the following given data-sheet in Table A. A considerable amount of research has been carried out in an attempt to understand the exact nature of the temperature variation of viscosity. One relatively simple model assumes that the viscosity obeys an 'Arrhenius-like' equation of the form n = Xe(k)r Хе --------Equation 1 where X = 1.7419 and (E/R) = -0.018 are constants for a given fluid. You are required to carry out appropriate calculations on the effect of changes in temperature given in table A by using equation 1 for Ethanol on the viscosity of a fluid. Table A NO Temperature viscocity n T°C cP 10 3 20 30 40 6. 50 7 60 8. 70 2. 4) 5.

Why does the viscosity of a gas generally decrease with decreasing temperature whereas for a liquid its viscosity generally increases? Calculate and plot using Matlab the variation in the coefficient of dynamic viscosity of air in USC units from 35•F to 120•F. Sutherland's Law can be expressed as T 1.5 To+S То T+S

Reynolds number for pipe flow may be expressed as Re = (4 m/ Trd) / µ Where m = mass flow, kg/s d= pipe diameter, m p = viscosity, k/m s In a certain system, the flow rate is 5.448 kg/min +0.5 %, through a 0.5" (inch) diameter (±0.005"). The viscosity is 1.92x 10-5 kg/m s, ±1 %. Calculate the value of the Reynolds Number and its uncertainty. Determine the main contribution to uncertainity.

Choose the incorrect statement/s about fluid flows. Select the correct response(s): Whenever the flow parameter does not change with distance along the flow path, the fluid flow is uniform It is non-uniform fluid flow when the flow parameters change and are varied at different points in the flow path It may change from point to point (velocity, pressure, cross-section) but not over time with a steady flow. Conditions vary from point to point in the stream, but remain constant over time for a steady non-uniform flow. When the conditions in any part of the fluid are constant over time, the flow is said to be unstable There are two parameters common to all fluid flow: the particle velocity and the fluid pressure.

An important parameter in fluid flow problems involving thin films is the Weber number (We) which can be expressed in equation form as We=[pv^2L/(omega)] where p is the density of the fluid, v is a velocity, L is a length, and (omega) is the surface tension of the fluid. If the Weber number is dimensionless, what are the dimensions of the surface tension (omega)?

A well with 4 in. radius produces oil with a viscosity of0.3 cP, at a rate of 200 barrels/day, from a reservoir that is 15 ft.thick. The pressure in the wellbore as a function of time is: t (mins) 1 5 10 20 30 60 Pw(psi) 4740 4667 4633 4596 4573 4535 Use the "semi-log straight line" method to estimate the permeability, K