CVL502 Lab #4 Energy Losses in Bends (final)

PLBASE BOX YOUR ANSWERS 3.7 atm -: The 6 cm diameter pipe contains a liquid (p = 1260 kg/m', u = 149 kg/m.s) flowing at an unknown flowrate. Pipe length (A to B) is 40 m. For the gage-pressure measurement shown, find a) the direction of flow (1.e, AB or B→A); b) Is the flow laminar/ turbulent; and c) friction factor. Ignore minor losses. 2.1 atm 12 m

Find the pressure drop between locations a and b for flow in a pipe using the following data: Working fluid: Water Pipe: Stainless steel, Schedule No. 120 Nominal pipe size (cm): 10 Flow rate (m3 /min): 2.271 Temperature (C): 38 Length (m): 45.72 Solve for the following 3 cases: a) Za = Zb =33.5 m, b) Za = Zb + 15 m, and c) Za = Zb + 46 m.

1. Start from the following equations from class notes (treat as given): The shear stress in pipe flow T = -μ- dr du 16 [1-(-)²), AP D² 16μL The fluid velocity in the pipe u = Derive clearly the following results: (a) The shear stress on the wall of the pipe, Tw. (b) The average velocity in the pipe flow, ū. (c) The Darcy friction factor, defined by f where L is the length of the pipe. 8 tw pū² (d) Express the result of (c) in terms of the Reynolds number, Re. (e) Find an expression for the head loss due to shear stress at the wall, AH₁, in terms of f,u, D and L. (f) What are the main assumptions in the fluid flow, in order to analyse the flow in this way?

4. Consider the branched pipe flow shown below used to transport water. Locations 1, 2, and 3 are equipped with pressure gauges that measure interior pressures. Inlet P1 Outlet P2 P3 Telepon sa Outlet Total volumetric flow rate at the inlet (1) is 0.27 m³/s. The diameter at location 1, 2, and 3 are 12.5 cm, 10 cm, and 7.5 cm, respectively. Pressure gauges 1 and 3 read 1.7 atm and 1.36 atm, respectively. Estimate the pressure pz. All three branches are in a horizontal plane. Neglect friction losses.

Flow (m³ /h) 1 1.5 2 2.5 Pressure difference Ap (bar) 0.005 0.012 0.021 0.034 Kinematic viscosity 10-6 m?/s V (Rough Pipe Radius = 25mm) (Rough Pipe length =L=80cm) Question: An experiment is made using different flow rates in a pipe and pressure differences are given according to the given flow values. According to these; 1. Calculate the pipe roughness height ( e ). 2. Calculate the Reynolds value. 3. Calculate the coefficient of friction f from the Darcy-Weisbach equation. 4. Briefly describe the equations you use and the reasons for using them.

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.

Find the viscosity of Water @ 25oC and @37oC

7. Pump 50mm Þ 17m Data: f = 0.0067 Pressure at 3 = 194 kN/m² gauge Velocity at 3 = 2.7 m/s p = 830 kg/m³ Pump efficiency = 88% Motor efficiency = 84% Pressure at 1 is atmospheric Velocity at 1 is negligible Determine required input power to motor [1.64 kW] 8. 200mm turbine water gen Data: At 1, p = 230 kN/m² gauge, v = At 2, p = 0 = 0 gauge, v = 0 Turbine efficiency = 80% Generator efficiency = 90% 3.6 m/s %3D Determine output power from generator [19.3 kW]

Calculations involving retention time involve the following formula, T =, where V is volume and Q is flow rate. Often times, you will be required to calculate the volume of more than one tank and determine a rate of flow, given a total retention time. Tank 1 Tank 2 Let's assume that the total retention time for the entire system is 55 minutes, and we want to know the inlet flow, given the dimensions of tank 1 are : 14m x 10m x 3 m, and tank 2 are: 5m x 10m x 3 m. Calculate the inlet flow.

the last three digits of My ID for the height H__ in mm is (754)

% 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…

Fluid Mechanics I need a detailed solutions and detailed drawings, thanks!

Exercise [2] As shown in Figure below, the velocity of water, v (m/sec), discharged from a cylindrical tank through a long pipe can be computed as: (/2gH V2gH tanh 2L V = L. Where g=9.81 (m/sec?), H=initial head (m), L= pipe length (m), and t = elapsed time (sec). Determine the head needed to achieve v= 5 m/sec in 2.5 seconds for a 4-m-long pipe by Newton-Raphson method. Use ɛ= 1%.

Show complete solution and draw each step by step.

10. Pump/motor E 25m Suction pipe 50mm dia Delivery pipe 50mm dia 142m long 8m long A 2m В Assume: f = 0.008 u in pipe = 2 m/s pump efficiency = 85% motor efficiency = 92% Determine: (i) pressure at C [-31.86 kN/m²] (ii) input power to motor [2.2.kW]

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26. A horizontal pipe of 150 mm diameter and 200 m length conveys water from a reservoir to a nozzle 50 mm in diameter. What would be the power of the jet if the level of water in the reservoir is 15 m above the axis of the pipe? Take friction co-efficient = 0.01. Neglect losses in the nozzle. [Ans. 2.31 kW]

A water truck drives slowly around a construction site, spraying water to keep dust down. A pump maintains a constant pressure of 100 kPa, gage, and the water is dispersed through 20 spray nozzles, each of diameter 1 cm. If the truck is initially filled with 4000 L of water, and the flow rate is constant, determine how long the truck can drive before a refill is needed. [57.0 s]

ES Font English (United Kingdom) ▬▬ Q Search > Text Predictions: On ALT Paragraph S Accessibility: Good to go Styles The following parameters characterise a liquid-fuelled rocket engine: stagnation pressure P0=100bar; stagnation temperature TO=3300K; nozzle exit diameter DE=1.0m; throat diameter=0.1 m; gas constant R=692 Jkg-1 K -1; ratio of specific heats cp/cV=y=1.25. Estimate the following: static pressure at the exit plane, exit Mach number. Heading Focus Editing ENG UK

b) A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged throoh water at 0.440 m/s. The water is freshwater (a lake) at a temperature, T=15°C, p=999.1 kg/m² and dynamic viscosity, µ = 1.138 x 103 kg/m's. The design team builds a one-fifth scale moder to test in their university's wind tunnel (Figure 10). A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25°C and at one standard atmosphere pressure having p = 1.184 kg/m³ and µ = 1.849 x 10-$ kg/m's. Determine the air speed required to run the wind tunnel in order to achieve similarity. Wind tunnel test section Model FD V P P Strut Shield Drag balance Figure 10

Suppose we have planned to design a hydraulic system.In this aspect, the pump selection is to be finalized for a flow rate of 3299.5 Liters per minute, It has been validated that the fluid velocity in a discharge pipeline should be between 3.6 m/s and 6.92 m/s. Calculate the minimum diameter and maximum diameter of pipe that should be used in the pipelines Area of the maximum sized pipe diameter (in m2)  Area of the minimum sized pipe diameter (in m2)   The minimum sized pipe diameter (in cm) and The maximum sized pipe diameter (in cm)

Engine oil at 40 C [density 876 kg/m^3, viscosity 0.2177 kg/m.s] flows in a 22-cm-diameter pipe at a velocity of 0.9 m/s. The pressure drop (in Pa) of oil for a pipe length of 24 m is ?"

Three pipes A. B, and C are interconnected as shown in figure 1. The pipe dimensions are as follows: Pipeline A D (cm) 15 10 L (m) 300 240 600 0.01 0.01 0.005 B 20 A 15 m 25 m B Figure 1 1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P and entry to pipelines A and B. 1.2 Find the pressure at P.

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Find the minimum diameter of a smooth tube to ensure the flow of water at an average velocity of 100 cm/s remains turbulent. Use vwater = 1E-6 m2 /s. [Ans.: 4 mm]

QUESTION 1 Three pipes A, B, and C are interconnected as shown in figure 1. The pipe dimensions are as follows: Pipeline A в D (cm) 15 10 L (m) 300 f 0.01 240 0.01 20 600 0.005 A 15 m 25 m В Figure 1 1.1 Find the rate at which water will flow in each pipe, ignoring the shock losses at P and entry to pipelines A and B. 1.2 Find the pressure at P.