q; = K(P; − P;)-qjq; = K(P; - P;)where qi and q; are fluid flow at nodes i and j, respectively; P; and P; arefluid pressure at nodes i and j, respectively; and K isK=πD4128μLwhere D is the diameter of the piper, μ is the viscosity, and L is the lengthof the pipe. The fluid flow is considered positive away from the node. Theviscosity of the fluid is 9×10+ Pa's.a. Write the element matrix equation for the flow in the pipe element.b. The net flow rates into nodes 1 and 2 are 10 and 15 m³/s, respectively.The pressures at the nodes 6, 7, and 8 are all zero. The net flow rate intothe nodes 3, 4, and 5 are all zero. What is the outflow rate for elements 4,6, and 7?Q1213(4)410567Elem1234567D(mm) 40405025402525L(m)1142338

Answered: Image /qna-images/answer/a734ae54-530c-4b00-b07a-026106b326b4.jpg

Answered: q; = K(P; − P;) - qj q; = K(P; - P;)…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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n = Xe()r -------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 5 40 6. 50 7 60 8 70 In addition to this, calculate other constraints such as the variety of shear stress (T) and force due to fluid viscosity, when the two layers of different compressible Newtonian fluids are contained between two flat plates separated by a distance of 0.05m and fluid moving with the velocity of 2m/s in the horizontal direction. Assume the shear area between the fluid layers is 0.5m². To do this you required to explain, with examples, the effects of temperature and shear forces on Newtonian and non-Newtonian fluid. Also, explain the operation and constraints of different viscometers that quantify viscosity in fluids. 2.
1. Convert the units that are blank with the given data2. Use equations to obtain results from the given information. 3. Show calculations
7. Blood is flowing through point P (Figure 2.5), which is connected to a catheter tip manometer system. Blood enters the manometer and equilibrates the pressure of the various fluids within the system (as denoted in the figure). Calculate the pressure within the blood vessel. Blood density is 1050 kg/m³, atmospheric pressure is 760 mmHg 25 cm Blood Fluid 1, P₁ = 879 kg/m³ Ja 45 cm 2 1 10 cm ✓ Fluid 2. P2 = 1200 kg/m³ Atmospheric pressure Figure 2.5 Schematic of a catheter tip manometer to measure intravascular blood pressure
% 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…
A Newtonian fluid with absolute viscosity (Greek mu) flows past a flat surface. Due to the no-slip boundary condition, the velocity profile, u(y), develops near the surface and is given by u/U (shown in image provided) where the constant parameters U and delta have dimensions of velocity and length respectively.a) Develop an expression for the shear stress acting in any horizontal plane.b) Determine the shear stress acting on the surface at y = 0 and again at the edge of the boundarylayer, y = delta. (Express your answers in terms of Greek mu, the outer velocity U, and the boundary layer thickness delta.)
4.21 Water flows from a reservoir out a pipe of diameter D and length L. The describing equation is 1 dp + 1 dv, ar 0 = %3D az
Determine the resistance in each scenario presented. Explain whether the resistance is linear or not, and if not describe the relation, finally, explain how it can be linearized about a specific condition. Be sure to state the units and demonstrate that they are correct using the appropriate pressure/flow relation. a) Laminar flow An aqueous solution of 50% glycerol / 50% water is flowing through a pipe with the following system parameters: System_Parameters = (L = 100.0 D= 0.2 u= 0.022 p= 1150.0 9m=7.0 g = 9.81) units : L ~ m; D~ m; µ ~ Pa · s; p~ kg: 4. ~ 8: Confirm that this is laminar flow and then calculate the resistance. b) Pump Resistance from Pump Curve Consider the following pump curve: [Feet) (Meters] 30어 Find the pump resistance if the pump is supporting 15 meters of discharge head pressure, at a flow rate of 300 L/minute. 80- 250 7어 100 PSI L/min Determine the pump resistance in Pa 20어 6어85 PST 50 SCFM 5어 75 PST Note that standard pump curves are oriented opposite to the…
Use g=32.2 */sec2 (9.81 m/s2) and 60°F (16°C) water unless told to do otherwise.• Google schedule-40 pipe’s thickness at different nominal size to obtain the innerdiameter of the pipe for accurate determinaLon of flow velocity.• Must show your work to support your selecLon. Otherwise, no points will be given.Water flows through a schedule-40 pipe that changes gradually in diameter from 6 in (154mm) at point A to 18 in (429 mm) at point B. The volumetric flow rate is 5.0 *3/sec (130 L/s). The respecLve pressures at points A and B are 10 psia (70 kPa) and 7 psia (48.3 kPa). All lossesare insignificant. What are the direcLon of flow and velocity at point A? (A) 3.2 */sec (1 m/s); from A to B(B) 25 */sec (7.0 m/s); from A to B(C) 3.2 */sec (1 m/s); from B to A(D) 25 */sec (7.5 m/s); from A to B
PLEASE answer question NUMBER 5 only, please be clear and thanks in advance for answering only number 5. Suppose you will need to repair the pipe between connections A and B, you will want to havethe flow between A and B as minimal as possible. What is the minimal value of x6 to have afeasible solution. PLEASE answer question NUMBER 5 only, please be clear and thanks in advance for answering only number 5.
Find required force equation in terms of v, h, l, and delta p

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