Fluid Mechanics
8th Edition
ISBN: 9780073398273
Author: Frank M. White
Publisher: McGraw-Hill Education
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Chapter 4, Problem 4.91P
To determine
Expression for
To determine
Velocity profile shapes for n=0.5,1, and 2.
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3. Tong and Anderson (1996) obtained for BSA the following data in a polyacrylamide gel for the
partition coefficient (K) as a function of the gel volume fraction (4). The BSA they used had a molecular
weight of 67,000, a molecular radius of 3.6 nm, and a diffusivity of 6 × 10-7 cm2 s-1. Compare the
Ogston equation
K=exp
+
to their data and obtain an estimate for the radius of the cylindrical fibers (af) that comprise the gel.
Hint: You will need to plot Ink as a function of gel volume fraction as part of your analysis. Please include
your MATLAB, or other, code with your solution.
Gel Volume Fraction (4)
KBSA
0.00
1.0
0.025
0.35
0.05
0.09
0.06
0.05
0.075
0.017
0.085
0.02
0.105
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Assignment 10, Question 1, Problem Book #189
Problem Statement
An ideal Brayton cycle operates with no reheat, intercooling, or regeneration. The com-
pressor inlet conditions are 30°C and 1 bar. The compression ratio is 11. The turbine inlet
temperature is 1,300 K. Determine the turbine exit temperature, the thermal efficiency, and
the back work ratio. Use an air standard analysis.
Answer Table
Correct
Stage
Description
Your Answer
Answer
*
1
Compressor inlet enthalpy (kJ/kg)
Due Date
Grade
(%)
Weight Attempt Action/Message
Part
Type
1
2
1 Compressor inlet relative pressure
1 Compressor exit relative pressure
1 Compressor exit enthalpy (kJ/kg)
Compressor work (kJ/kg)
Turbine inlet enthalpy (kJ/kg)
Dec 5, 2024 11:59 pm
Dec 5, 2024 11:59 pm
Dec 5, 2024 11:59 pm 0.0
0.0
1
1/5
Submit Stage 1
0.0
1
1
Dec 5, 2024 11:59 pm
0.0
1
Dec 5, 2024 11:59 pm
0.0
1
2
Turbine inlet relative pressure
Dec 5, 2024 11:59 pm
Dec 5, 2024 11:59 pm
0.0
1
1/5
0.0
1
2
Combustion chamber heat addition (kJ/kg)
Dec…
Assignment 10, Question 4, Problem Book #202
Problem Statement
An ideal Brayton cycle with a two-stage compressor, a two-stage turbine, and a regenerator
operates with a mass flow rate of 25 kg/s. The regenerator cold inlet is at 490 K and its
effectiveness is 60%. Ambient conditions are 90 kPa and 20°C. The intercooler operates at
450 kPa and the reheater operates at 550 kPa. The temperature at the exit of the combustion
chamber is 1,400 K. Heat is removed in the intercooler at a rate of 2.5 MW and heat is added
in the reheater at a rate of 10 MW. Determine the thermal efficiency and the back work
ratio. Use a cold air standard analysis with cp = 1.005 kJ/(kg K) and k = 1.4.
.
Answer Table
Stage
Description
Your Answer
Correct
Answer
Due Date
Grade
(%)
1
Thermal efficiency (%)
Dec 5, 2024 11:59 pm
0.0
1
Weight Attempt Action/Message
1/5
Part
Type
Submit
1
Back work ratio (%)
Dec 5, 2024 11:59 pm
0.0
1
* Correct answers will only show after due date has passed.
Chapter 4 Solutions
Fluid Mechanics
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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- Assignment 10, Question 3, Problem Book #198 Problem Statement Consider a Brayton cycle with a regenerator. The regenerator has an effectiveness of 75%. The compressor inlet conditions are 1.2 bar and 300 K and the mass flowrate is 4.5 kg/s. The compressor outlet pressure is 9 bar. Both the compressor and turbine consist of a single isentropic stage. What minimum power output must be achieved before the regenerator begins to have a benefit? Use an air-standard analysis. Answer Table Correct Answer Stage Description Your Answer Due Date Grade (%) Part Weight Attempt Action/Message Туре 1 Power output (MW) Dec 5, 2024 11:59 pm 0.0 1 1/5 Submit * Correct answers will only show after due date has passed.arrow_forwardQ-3 Consider an engine operating on the ideal Diesel cycle with air as the working fluid. The volume of the cylinder is 1200 cm³ at the beginning of the Compression process, 75 cm³ at the end, and 150 cm³ after the heat addition process. Air is at 17°c and lookpa at the beginning of the compression proc ess. Determine @ The pressure at the beginning of the heat rejection process. the net work per cycle in kjⒸthe mean effective pressur. Answers @264.3 KN/m² ②0.784 kj or 544-6 kj © 697 KN 19 2 marrow_forwardIn the system shown in the (img 1), water flows through the pump at a rate of 50L/s. The permissible NPSH providedby the manufacturer with that flow is 3.6 m. Determine the maximum height Delta z above the water surface at which the Pump can be installed to operate without cavitation. Include all losses in the suction tube. What is the value of the smaller total losses? What is the value of minor-minor losses? What is the value of major-minor losses?arrow_forward
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