Fluid Mechanics, 8 Ed
8th Edition
ISBN: 9789385965494
Author: Frank White
Publisher: MCGRAW-HILL HIGHER EDUCATION
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Chapter 4, Problem 4.47P
To determine
Whether the given flow is satisfying continuity, if yes, find the stream function.
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This refrigeration cycle uses R-134a as the working fluid and, for now, assume that it operates on an ideal vapour-compression refrigeration cycle between 0.11 and 1.0 MPa. If the mass flow rate of the refrigerant is 0.075 kg/s, determine
What is the rate of heat removal from the refrigerated space?
What is the power input to the compressor?
What is the rate of heat rejection to the environment?
What is the COP of this ideal process?
Based on this analysis, what is the cost of electricity to operate the cold room for 1 year? Comment on why this differs to the value above
Further data was collected which determined that the working fluid:
enters the compressor at 0.11 MPa and -22°C
leaves the compressor at 1.0 MPa and 60°C
is cooled in the condenser to 0.9 MPa and 20°C
is throttled to 0.12 MPa
Disregarding any heat transfer or pressure losses in the pipes:
What is the rate of heat removal from the refrigerated space?
What is the power input to the compressor?…
1 The refrigeration capacity of the cold room you are considering is 10 kW. It operates for 24 h/d, 360 days of the year. The average temperature outside the cold room is 30°C and the temperature of the air inside the cold room should be 5°C. What is the maximum coefficient of performance for this refrigeration cycle? What is the minimum work required? and If the price of electricity is 0.008 cents per kJ, what is the minimum cost of electricity to run the cold room for 1 year?
Chapter 4 Solutions
Fluid Mechanics, 8 Ed
Ch. 4 - Prob. 4.1PCh. 4 - Flow through the converging nozzle in Fig. P4.2...Ch. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - P4.8 When a valve is opened, fluid flows in...Ch. 4 - An idealized incompressible flow has the proposed...Ch. 4 - A two-dimensional, incompressible flow has the...
Ch. 4 - Prob. 4.11PCh. 4 - Prob. 4.12PCh. 4 - Prob. 4.13PCh. 4 - Prob. 4.14PCh. 4 - What is the most general form of a purely radial...Ch. 4 - Prob. 4.16PCh. 4 - An excellent approximation for the two-dimensional...Ch. 4 - Prob. 4.18PCh. 4 - A proposed incompressible plane flow in polar...Ch. 4 - Prob. 4.20PCh. 4 - Prob. 4.21PCh. 4 - Prob. 4.22PCh. 4 - Prob. 4.23PCh. 4 - Prob. 4.24PCh. 4 - An incompressible flow in polar coordinates is...Ch. 4 - Prob. 4.26PCh. 4 - Prob. 4.27PCh. 4 - P4.28 For the velocity distribution of Prob. 4.10,...Ch. 4 - Prob. 4.29PCh. 4 - Prob. 4.30PCh. 4 - Prob. 4.31PCh. 4 - Prob. 4.32PCh. 4 - Prob. 4.33PCh. 4 - Prob. 4.34PCh. 4 - P4.35 From the Navier-Stokes equations for...Ch. 4 - A constant-thickness film of viscous liquid flows...Ch. 4 - Prob. 4.37PCh. 4 - Prob. 4.38PCh. 4 - Reconsider the angular momentum balance of Fig....Ch. 4 - Prob. 4.40PCh. 4 - Prob. 4.41PCh. 4 - Prob. 4.42PCh. 4 - Prob. 4.43PCh. 4 - Prob. 4.44PCh. 4 - Prob. 4.45PCh. 4 - Prob. 4.46PCh. 4 - Prob. 4.47PCh. 4 - Consider the following two-dimensional...Ch. 4 - Prob. 4.49PCh. 4 - Prob. 4.50PCh. 4 - Prob. 4.51PCh. 4 - Prob. 4.52PCh. 4 - Prob. 4.53PCh. 4 - P4.54 An incompressible stream function is...Ch. 4 - Prob. 4.55PCh. 4 - Prob. 4.56PCh. 4 - A two-dimensional incompressible flow field is...Ch. 4 - P4.58 Show that the incompressible velocity...Ch. 4 - Prob. 4.59PCh. 4 - Prob. 4.60PCh. 4 - An incompressible stream function is given by...Ch. 4 - Prob. 4.62PCh. 4 - Prob. 4.63PCh. 4 - Prob. 4.64PCh. 4 - Prob. 4.65PCh. 4 - Prob. 4.66PCh. 4 - A stream function for a plane, irrotational, polar...Ch. 4 - Prob. 4.68PCh. 4 - A steady, two-dimensional flow has the following...Ch. 4 - A CFD model of steady two-dimensional...Ch. 4 - Consider the following two-dimensional function...Ch. 4 - Prob. 4.72PCh. 4 - Prob. 4.73PCh. 4 - Prob. 4.74PCh. 4 - Given the following steady axisymmetric stream...Ch. 4 - Prob. 4.76PCh. 4 - Prob. 4.77PCh. 4 - Prob. 4.78PCh. 4 - Prob. 4.79PCh. 4 - Oil, of density and viscosity , drains steadily...Ch. 4 - Prob. 4.81PCh. 4 - Prob. 4.82PCh. 4 - P4.83 The flow pattern in bearing Lubrication can...Ch. 4 - Consider a viscous film of liquid draining...Ch. 4 - Prob. 4.85PCh. 4 - Prob. 4.86PCh. 4 - Prob. 4.87PCh. 4 - The viscous oil in Fig. P4.88 is set into steady...Ch. 4 - Oil flows steadily between two fixed plates that...Ch. 4 - Prob. 4.90PCh. 4 - Prob. 4.91PCh. 4 - Prob. 4.92PCh. 4 - Prob. 4.93PCh. 4 - Prob. 4.94PCh. 4 - Two immiscible liquids of equal thickness h are...Ch. 4 - Prob. 4.96PCh. 4 - Prob. 4.97PCh. 4 - Prob. 4.98PCh. 4 - For the pressure-gradient flow in a circular tube...Ch. 4 - W4.1 The total acceleration of a fluid particle is...Ch. 4 - Is it true that the continuity relation, Eq....Ch. 4 - Prob. 4.3WPCh. 4 - Prob. 4.4WPCh. 4 - W4.5 State the conditions (there are more than...Ch. 4 - Prob. 4.6WPCh. 4 - W4.7 What is the difference between the stream...Ch. 4 - Under what conditions do both the stream function...Ch. 4 - Prob. 4.9WPCh. 4 - Consider an irrotational, incompressible,...Ch. 4 - Prob. 4.1FEEPCh. 4 - Prob. 4.2FEEPCh. 4 - Prob. 4.3FEEPCh. 4 - Given the steady, incompressible velocity...Ch. 4 - Prob. 4.5FEEPCh. 4 - Prob. 4.6FEEPCh. 4 - C4.1 In a certain medical application, water at...Ch. 4 - Prob. 4.2CP
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- This refrigeration cycle uses R-134a as the working fluid and, for now, assume that it operates on an ideal vapour-compression refrigeration cycle between 0.11 and 1.0 MPa. If the mass flow rate of the refrigerant is 0.075 kg/s, determine What is the rate of heat removal from the refrigerated space? What is the power input to the compressor? What is the rate of heat rejection to the environment? and What is the COP of this ideal process?arrow_forwardplease solve 4.48 in Pa and mm, thank you!arrow_forwardplease solve it with Pa and mm, thank you!arrow_forward
- Can you help me by providing the MATLAB code?arrow_forwardThe figure illustrates the nonpermanent connection of a steel cylinder head to a grade 30 cast-iron pressure vessel using 73 bolts. A confined gasket seal has an effective sealing diameter D of 0.9 m. The cylinder pressure is cycled between a minimum pressure of zero and a maximum pressure p, of 535 kPa. For the specifications given in the table for the specific problem assigned, select a suitable bolt length from the preferred sizes. Use Table A-17 for calculation purposes. Parameter Head thickness, A Cylinder thickness, B Value 16 mm 25 mm Internal diameter of the cylinder, C 0.8 m Gasket sealing diameter, D Bolt circle diameter, E Outer diameter of the cylinder head, F 0.9 m 1.0 m 1.1 m Bolt grade ISO 10.9 Bolt diameter, d 10 mm F E D 111 Find a suitable bolt length. Then, determine the bolt stiffness, material stiffness and stiffness constant of the joint. The bolt length is The bolt stiffness is mm. MN/m. The material stiffness is | The stiffness constant is MN/m.arrow_forwardProblem 3 A rotating shaft of 20 mm diameter is simply supported. The shaft is loaded with a transverse load of 10 kN as shown in the figure. The shaft is made from AISI 1095 hot-rolled steel. The surface has been machined. The shaft operate at temperature T = 450 °C. Consider a reliability factor of 95%. Determine (a) Calculate the reaction forces R₁ and R2* (b) Draw the shear force and bending moment diagrams and determine the maximum bending moment and shear force. 200 mm 20 mm 10,000 N -50 mm- C A B R₁ Not to scale. (c) Determine the critical location of the shaft and the maximum effective stresses, (d) Calculate the static safety factor against yielding. (e) Determined the endurance limit, adjusted as necessary with Marin factors. (f) Calculate the fatigue factor of safety based on achieving infinite life (g) If the fatigue factor of safety is less than 1, then estimate the life of the part in number of rotations, based on the ultimate strength of the material at T = 450 °C.arrow_forward
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