When fluid flows over a surface, the Reynolds number will output whether the flow is laminar (smooth), transitional, or turbulent. Determine the dimension for the Reynolds number using the SI. The Reynolds number is expressed aspVDR =where p is the density of the fluid, V is the free stream fluid velocity, Dis the characteristic length of the surface, and u is the fluid viscosity. The units of fluid viscosity are kg/(m - s).O a.s1O b. mO c. m/sO d. Dimensionless

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Answered: When fluid flows over a surface, the…

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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The friction in flows through the pipe is defined by a dimensionless number called the fanning friction factor (f). The Fanning friction factor is represented by another dimensionless number, the Reynolds number (Re).It depends on the diameter of the pipe and some parameters related to the fluid. An equation that can predict f given the Reynolds number is given as follows. If Re =4000, e/D=0.01 in this equation, find the value of f using the Simple Iteration method by taking f0=0.1 as the initial value for the solution (ԑ=0.0001)
10 The Reynolds number is a dimensionless quantity used in calculations of fluid flow in pipes. The Reynolds nummber is defined as D,Vp NRe where D; is the inside diameter of the pipe, V is the average velocity of the fluid in the pipe, p is the fluid density and u is the absolute viscosity of the fluid. For flow in pipes, a Reynolds number of less than 2000 indicates that the flow is laminar, while a value of greater than 10,000 indicates that the flow is turbulent. For a pipe diameter of 5 cm, and fluid of density 1 g/cm and viscosity of 1 centipoise, find the minimum velocity that results in turbulent flow.
. I am planning to perform some volume-flow rate measurements in the Fluid Mechanics Laboratory. For this, I need a volumetric measuring tank (graduated cylinder) and a stopwatch. I considered the volume of the measured tank as 15 gallons and a stopwatch with reaction time as 1/10th of a second (though resolution of 1/1000th of a second). What is the volume flow rate if it takes 5 minutes to fill a 15-gallon of tank? Determine the smallest division to be on the tank in order to estimate the volume flow rate within an accuracy of ± 0.05 gpm.
As we explained in earlier chapters, the air resistance to the motion of a vehicle is something important that engineers investigate. The drag force acting on a car is determined experimentally by placing the car in a wind tunnel. The air speed inside the tunnel is changed, and the drag force acting on the car is measured. For a given car, the experimental data generally is represented by a single coefficient that is called drag coefficient. It is defined by the following relationship: F, where air resistance for a car that has a listed C, = drag coefficient (unitless) measured drag force (N) drag coefficient of 0.4 and width of 190 cm and height of 145 cm. Vary the air speed in the range of 15 m/s
Ql: The viscosity in industrial measurement continue to use the CGS system of Lunits, since centimeters and grams vield convenient numbers for many fluids. The absolute viscosity () unit is the poise, I poise = 1 gtem. s). The kinematic viscosity (v) unit is the stohes, I stokes = 1 em /s. Water at 20C has u = 001 poise and also V= 0.01 stokes. Express these resalts in (a) SI and (h) BG tanits.
The air resistance to the motion of a vehicle is something important that engineers investigate. As you may also know, the drag force acting on a car is determined experimentally by placing the car in a wind tunnel. For a given car, the experimental data is generally represented by a single coefficient that is called the drag coefficient. It is given by the relationship: Cd = Fd/(1/2)pV2A. What is the appropriate unit for Cd if the preceding equation is to be homogeneous in units?
The velocity of the fluid flowing in a pipe with a radius of 10 cm was measured at certain points and the following table values were obtained. r=the distance of the measurement points to the center of the pipe (m) v=measured speeds (m/s) Accordingly, calculate the velocity value for r = 0.07 m by using 3rd order interpolation with the help of appropriate points that make the error minimum. In calculations, take 4 digits after the comma.
A) An experimental text program is being set up to calibrate a new flow meter. The flow meter is to measure the mass flow rate of liquid flowing through a pipe. It is assume the mass flow rate (m) is a function of the pressure difference (AP)across the meter, diameter of the pipe (D), viscosity of the fluid (μ), and the density of the fluid (p). Using the dimensionless analysis, find the-groups for this case study.
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.
Thermal conductivity k is a measure of the ability of a material to conduct heat. For conduction heat transfer in the x-direction through a surface normal to the x-direction, Fourier’s law of heat conduction is expressed as: Q=-kA.dT/dx where ?̇ is the rate of heat transfer and A is the area normal to the direction of heat transfer. Determine the primary dimensions of thermal conductivity (k). Look up a value of k and verify that its SI units are consistent with your result. Write a set of primary SI units for k.
Check the following equation for dimensional homogeneity: mu = (Fcos) at where m is mass, v is velocity, F is force, is an angle, and it is time. Check that each term in the equation has the following dimensions: [MOLT] where you are to choose the coefficients a, b, c. Answers: b= C= i i
Your assigned value of y is 30 The following fluids specific heats are used. Fluid Comments X (liquid) Y (ideal gas) Z (liquid) Cp 4.2 kJ/(kg °C) 1.01 kJ/(kg °C) 2.03 kJ/(kg °C) does not change phase R = 287 J/(kg K) does not change phase Note: if any of these problems is impossible, state impossible, rather than a numerical answer. 1) A shell-and-tube heat exchanger with two shell passes and four tube T shell, in passes is used to heat (0.5 + y/40) kg/s of liquid Z from 10°C to 50°C. using 1.5 kg/s of liquid X entering at Trube,in (80 + y/2)°C. The over-all heat transfer coefficient is U = (150 – y) Figure 1: For use in Problem 5 W/(m² °C). a. Find the exit temperature of Fluid X: Tx,out = °C (± 1°C) b. Find the required heat transfer surface area: A = m² (± 1%)

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