Heat and Mass Transfer: Fundamentals and Applications
6th Edition
ISBN: 9781260440058
Author: CENGEL, Yunus
Publisher: MCGRAW-HILL HIGHER EDUCATION
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 4, Problem 13P
Obtain a relation for the time required for a lumped system to reach the average temperature
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
2. Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The membrane is
30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight
of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a
solution containing a protein at a concentration of 8 g L-1 with these properties: a = 3 nm and DAB = 6.0 ×
10-7 cm² s¹. The solution viscosity is 1 cP. The hydrodynamic pressure on the protein side of the
membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Assume
that the hydrodynamic pressure difference is much larger than the osmotic pressure difference
(advection >> diffusion). Determine the convective flow rate of the solution across the membrane.
1. Calculate the filtration flow rate (cm³ s¹) of a pure fluid across a 100 cm² membrane. Assume the
viscosity (µ) of the fluid is 1.8 cP. The porosity of the membrane is 40% and the thickness of the
membrane is 500 μm. The pores run straight through the membrane and these pores have a radius of
0.225 μm. The pressure drop applied across the membrane is 75 psi. (Note: 1 cP = 0.001 N s m²² = 0.001
Pa s.)
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
0.03
Chapter 4 Solutions
Heat and Mass Transfer: Fundamentals and Applications
Ch. 4 - What is the physical significance of the Biot...Ch. 4 - What is lumped system analysis? When is it...Ch. 4 - In what medium is the lumped system analysis more...Ch. 4 - For which solid is the lumped system analysis more...Ch. 4 - For which kinds of bodies made of the same...Ch. 4 - Consider heat transfer between two identical hot...Ch. 4 - Consider heat transfer between two identical hot...Ch. 4 - Consider a hot baked potato on a plate. The...Ch. 4 - Consider a potato being baked in an oven that is...Ch. 4 - Consider two identical 4-kg pieces of roast beef....
Ch. 4 - Consider a sphere and a cylinder of equal volume...Ch. 4 - Obtain relations for the characteristic lengths of...Ch. 4 - Obtain a relation for the time required for a...Ch. 4 - A brick of 20310257mm in dimension is being burned...Ch. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Metal plates...Ch. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - A 6-mm-thick stainless steel strip...Ch. 4 - After heat treatment, the 2-cm-thick metal plates...Ch. 4 - A long copper rod of diameter 2.0 cm is initially...Ch. 4 - Prob. 25PCh. 4 - Steel rods...Ch. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - To warm up some milk for a baby, a mother pours...Ch. 4 - A person is found dead at 5 p.m. in a room whose...Ch. 4 - Prob. 31PCh. 4 - In an experiment, the temperature of a hot gas...Ch. 4 - Prob. 33PCh. 4 - Pulverized coal particles are used in oxy-fuel...Ch. 4 - Oxy-fuel combustion power plants use pulverized...Ch. 4 - Plasma spraying is a process used for coating a...Ch. 4 - Consider a spherical shell satellite with outer...Ch. 4 - Prob. 38PCh. 4 - Prob. 39PCh. 4 - Prob. 40EPCh. 4 - Consider a sphere of diameter 5 cm, a cube of side...Ch. 4 - Prob. 42PCh. 4 - An egg is to be cooked to a certain level of...Ch. 4 - What is an infinitely long cylinder? When is it...Ch. 4 - What is the physical significance of the Fourier...Ch. 4 - Prob. 46CPCh. 4 - Prob. 47CPCh. 4 - The Biot number during a heat transfer process...Ch. 4 - A body at an initial temperature of Ti, is brought...Ch. 4 - Prob. 50PCh. 4 - In a meat processing plant, 2-cm-thick steaks...Ch. 4 - Prob. 52PCh. 4 - Prob. 53PCh. 4 - Prob. 54PCh. 4 - Prob. 55PCh. 4 - Layers of 23-cm-thick meat slabs...Ch. 4 - Prob. 57PCh. 4 - Prob. 58PCh. 4 - Prob. 59PCh. 4 - Prob. 60PCh. 4 - Prob. 61PCh. 4 - Prob. 62EPCh. 4 - Prob. 63PCh. 4 - Prob. 64PCh. 4 - Prob. 65PCh. 4 - Prob. 66PCh. 4 - A 30-cm-diameter, 4-m-high cylindrical column of a...Ch. 4 - Prob. 68PCh. 4 - Prob. 69PCh. 4 - Prob. 70PCh. 4 - For heat transfer purposes, an egg can be...Ch. 4 - Citrus fruits are very susceptible to cold...Ch. 4 - Chickens with an average mass of 1.7 kg...Ch. 4 - Prob. 74PCh. 4 - Prob. 75PCh. 4 - Prob. 76PCh. 4 - Oranges of 2.5-in-diameter...Ch. 4 - Prob. 78PCh. 4 - Prob. 79PCh. 4 - Prob. 80PCh. 4 - Prob. 81PCh. 4 - A 9-cm-diameter potato...Ch. 4 - In Betty Crocker s Cookbook, it is stated that it...Ch. 4 - Prob. 84PCh. 4 - Under what conditions can a plane wall be treated...Ch. 4 - What is a semi-infinite medium? Give examples of...Ch. 4 - Consider a hot semi-infinite solid at an initial...Ch. 4 - Prob. 88EPCh. 4 - Prob. 89PCh. 4 - In areas where the air temperature remains below...Ch. 4 - Prob. 91PCh. 4 - A highway made of asphalt is initially at a...Ch. 4 - A thick aluminum block initially at 20C is...Ch. 4 - Prob. 94PCh. 4 - A thick wall made of refractory bricks...Ch. 4 - Prob. 96PCh. 4 - Prob. 97PCh. 4 - A thick wood slab (k=0.17W/m.K,=1.2810-7m2/s) and...Ch. 4 - Prob. 99PCh. 4 - Prob. 100PCh. 4 - Prob. 101PCh. 4 - Prob. 102PCh. 4 - Prob. 103PCh. 4 - Prob. 104PCh. 4 - Prob. 105PCh. 4 - A barefooted person whose feet are at 32C steps on...Ch. 4 - What is the product solution method? How is it...Ch. 4 - How is the product solution used to determine the...Ch. 4 - Prob. 109CPCh. 4 - Consider a short cylinder whose top and bottom...Ch. 4 - Prob. 111PCh. 4 - Prob. 112PCh. 4 - Prob. 113PCh. 4 - A hot dog can be considered to be a cylinder 5 in...Ch. 4 - Prob. 115PCh. 4 - Prob. 116PCh. 4 - A 2-cm-high cylindrical ice block...Ch. 4 - Prob. 118PCh. 4 - Prob. 119PCh. 4 - Prob. 120PCh. 4 - Prob. 121PCh. 4 - Prob. 122PCh. 4 - Prob. 123PCh. 4 - Prob. 124CPCh. 4 - How does refrigeration prevent or delay the...Ch. 4 - What are the environmental factors that affect the...Ch. 4 - What is the effect of cooking on the...Ch. 4 - Prob. 128CPCh. 4 - Prob. 129CPCh. 4 - Prob. 130CPCh. 4 - Prob. 131CPCh. 4 - How does the rate of freezing affect the...Ch. 4 - Prob. 133CPCh. 4 - Prob. 134CPCh. 4 - Prob. 135CPCh. 4 - Prob. 136CPCh. 4 - Prob. 137CPCh. 4 - Prob. 138PCh. 4 - Chickens with an average mass of 2.2 kg and...Ch. 4 - Prob. 140EPCh. 4 - Prob. 141PCh. 4 - Prob. 142PCh. 4 - A long roll of 2-m-wide and 0.5-cm-thick 1-Mn...Ch. 4 - Prob. 144PCh. 4 - Prob. 145PCh. 4 - Prob. 146PCh. 4 - During a picnic on a hot summer day, the only...Ch. 4 - Two metal rods are being heated in an oven with...Ch. 4 - Stainless steel ball bearings...Ch. 4 - Prob. 150PCh. 4 - Prob. 151PCh. 4 - In Betty crockers Cookbook, it is stated that it...Ch. 4 - A watermelon initially at 35C is to be cooled by...Ch. 4 - Prob. 154PCh. 4 - Prob. 155PCh. 4 - Prob. 156PCh. 4 - Prob. 157PCh. 4 - Prob. 158PCh. 4 - Prob. 159PCh. 4 - Prob. 160PCh. 4 - Prob. 161PCh. 4 - Prob. 162PCh. 4 - Prob. 163PCh. 4 - Lumped system analysis of transient heat...Ch. 4 - Prob. 165PCh. 4 - Prob. 166PCh. 4 - An 18-cm-long, 16-cm-wide, and 12-cm-high hot iron...Ch. 4 - Prob. 168PCh. 4 - Prob. 169PCh. 4 - Prob. 170PCh. 4 - Prob. 171PCh. 4 - Prob. 172PCh. 4 - A long 18-cm-diameter bar made of hardwood...Ch. 4 - Consider a 7.6-cm-long and 3-cm-diameter...Ch. 4 - Consider a 7.6-cm-diameter cylindrical lamb meat...Ch. 4 - Prob. 176PCh. 4 - A small chicken (k=0.45W/m.K,=0.1510-6m2/s) and...Ch. 4 - A potato may be approximated as a 5.7-cm-diameter...Ch. 4 - When water, as in a pond or lake, is heated by...Ch. 4 - A large chunk of tissue at 35C with a thermal...Ch. 4 - Prob. 181PCh. 4 - Citrus trees are very susceptible to cold weather,...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.Similar questions
- 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…arrow_forwardAssignment 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.arrow_forwardAssignment 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_forward
- Q-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_forwardA plastic canister whose bottom surface can be approximated as a flat surface1.9 m and 3 m long, travels through the water at 19 °C with a speed of up to 48 km/h. Determine: Drag due to friction that water exerts on the boat The power needed to overcome itarrow_forward
- (Fig. 1) shows the performance of a centrifugal pump for various diameters of theimpeller. For such a pump with a 5" diameter impeller, what power, in hp, would be expected to supply 5 L/s?what is its efficiency, in %?A pumping system requires 6 L/s of water with a load of 8 m, which of the pumpsof (fig. 1) would you recommend for this application?;arrow_forwardYou have the following information about a ship (image 1) Determine:a) Calculation of the block coefficient. b) Calculation of the wake coefficient. c) Determine the length of the wake.arrow_forwardA stainless steel canoe moves horizontally along the surface of a lake at 3.7 mi/h. TheThe lake's water temperature is 60°F. The bottom of the canoe is 25 ft long and flat. The boundary layer inThe bottom of the canoe is laminar or turbulent. the value of kinematic viscosity is? the value of the Reynolds number is?arrow_forward
- Example Example 1 A vertical tubular test section is to be installed in an experimental high pressure water loop. The tube is 10.16 mm i.d. and 3.66 m long heated uniformly over its EXAMPLE 73 length. An estimate of the pressure drop across the test section is required as a function of the flow-rate of water entering the test section at 204°C and 68.9 bar. (1) Calculate the pressure drop over the test section for a water flow of 0.108 kg/s with a power of 100 kW applied to the tube using (i) the homogeneous model (ii) the Martinelli-Nelson model (iii) The Thom correlation (iv) the Baroczy correlation (2) Estimate the pressure drop versus flow-rate relationship over the range 0.108 to 0.811 kg/s (2-15 USGPM) for a power of 100 kW and 200 kW applied to the tube using (i) the Martinelli-Nelson model (ii) the Baroczy correlationarrow_forward"A seismograph detects vibrations caused by seismic movements. To model this system, it is assumed that the structure undergoes a vibration with a known amplitude band frequency w (rad/s), such that its vertical displacement is given by xB=bsin(wt). This movement of the structure will produce a relative acceleration in the mass m of 2 kg, whose displacement 2 will be plotted on a roller." x= 15 kN/m Structure -WI 24 mm (Ctrl) sin(wt) b(w/w)² √√1 (w/w)] + [25(w/w)]²' "The seismograph's roller measures 60 mm, and a maximum vibration amplitude of the structure of b<5 mm is expected. Design the damper (constant c) to ensure that, for a constant oscillation, the seismograph functions correctly and the needle does not move off the roller."arrow_forwardAircraft B is traveling at a steady speed of VB = 400 mi/hr at an altitude of 6000 ft. Meanwhile, when aircraft A is at an altitude of 10,000 ft, the line connecting A to B lies in the vertical plane of B's flight path and forms an angle of 0 = 30 degrees with the vertical. Assuming A maintains a constant velocity, find the speed required for a collision to occur. Additionally, calculate the time it would take for the collision to happen after both aircraft reach the described positions, provided no evasive measures are taken. Problem outline: 1- Find the velocity of A for the collision to happen. 2- Find the time at which the collision happens. 3- Explain the solution process with your own words. - 10,000 ft 12° 6000 ft B UBarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning
Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Understanding Conduction and the Heat Equation; Author: The Efficient Engineer;https://www.youtube.com/watch?v=6jQsLAqrZGQ;License: Standard youtube license