HEAT+MASS TRANSFER:FUND..(LL)-W/CONNECT
6th Edition
ISBN: 9781260699326
Author: CENGEL
Publisher: MCG
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 2, Problem 131CP
To determine
The condition in which partial derivative is equal to the ordinary derivative.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
What is the difference between true stress/strain and engineering stess/strain? And how do I calculate them?
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 R, and R₂ (2 points)
(b) Draw the shear force and bending moment diagrams
and determine the maximum bending moment and
shear force. (6 points)
200 mm
20 mm
10,000 N
-50 mm-
A
Not to scale.
(c) Determine the critical location of the shaft and the maximum effective stresses. (3 points)
(d) Calculate the safety factor against yielding. Does the shaft undergo local yielding? (2 points)
(e) Determined the endurance limit, adjusted as necessary with Marin factors. (12 points)
(f) Calculate the fatigue factor of safety based on achieving infinite life. (2 points)
(g) If the fatigue factor of safety is less than 1 (hint: it should be for this problem), then…
(read image)
Chapter 2 Solutions
HEAT+MASS TRANSFER:FUND..(LL)-W/CONNECT
Ch. 2 - How does transient heat transfer from steady heat...Ch. 2 - Is heat transfer a scalar or a vector quantity?...Ch. 2 - Does a hear flux vector at a point P on an...Ch. 2 - From a heat transfer point of view, what is the...Ch. 2 - What is heat generation in a solid? Give examples.Ch. 2 - Heat generation is also referred to as energy...Ch. 2 - In order to size the compressor of a new...Ch. 2 - In order to determine the size of the heating...Ch. 2 - Consider a round potato being baked in an oven....Ch. 2 - Consider an egg being cooked in boiling water in a...
Ch. 2 - Prob. 11CPCh. 2 - Consider the cooking process of a roast beef in an...Ch. 2 - Consider heat loss from a 200-L cylindrical hot...Ch. 2 - Consider a cold canned drink left on a dinner...Ch. 2 - Heat flux meters use a very sensitive device know...Ch. 2 - Prob. 16PCh. 2 - Consider a large 3-cm-thick stainless steel plate...Ch. 2 - In a nuclear reactor, heat is generated uniformly...Ch. 2 - Prob. 19PCh. 2 - Prob. 20EPCh. 2 - Writer down the one-dimensional transient heat...Ch. 2 - Writer down the one-dimensional transient heat...Ch. 2 - Starting with an energy balance on rectangular...Ch. 2 - Prob. 24PCh. 2 - Prob. 25PCh. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Starting with an energy balance on a volume...Ch. 2 - Prob. 34PCh. 2 - Prob. 35PCh. 2 - What is a boundary condition? How many boundary...Ch. 2 - What is an initial condition? How many initial...Ch. 2 - What is a thermal symmetry boundary condition? How...Ch. 2 - How is the boundary condition on an insulated...Ch. 2 - It is claimed that the temperature profile in a...Ch. 2 - Why do we try to avoid the radiation boundary...Ch. 2 - Consider an aluminum pan used to cook stew on top...Ch. 2 - Prob. 43PCh. 2 - Prob. 44PCh. 2 - Heat is generated in a long wire of radius ro at a...Ch. 2 - Consider a long pipe of inner radius r1, Outer...Ch. 2 - A 2-kW resistance heater wire whose thermal...Ch. 2 - Prob. 48PCh. 2 - Prob. 49PCh. 2 - Consider a spherical shell of inner radius r1,...Ch. 2 - A container consists of two spherical layers, A...Ch. 2 - A spherical metal ball of radius ro is heated in...Ch. 2 - Prob. 53PCh. 2 - It is stated that the temperature in a plane wall...Ch. 2 - Consider one-dimensional heat conduction through a...Ch. 2 - Consider a solid cylindrical rod whose side...Ch. 2 - Consider a solid cylindrical rod whose ends are...Ch. 2 - Prob. 58PCh. 2 - Prob. 59PCh. 2 - Prob. 60PCh. 2 - Prob. 61PCh. 2 - Consider a 20-cm-thick concrete plane wall...Ch. 2 - Prob. 63PCh. 2 - Prob. 64PCh. 2 - Prob. 65PCh. 2 - Prob. 66PCh. 2 - Prob. 67PCh. 2 - Prob. 68EPCh. 2 - Prob. 69PCh. 2 - Consider a chilled-water pipe of length L, inner...Ch. 2 - Prob. 71EPCh. 2 - Prob. 72PCh. 2 - Prob. 73PCh. 2 - Prob. 74PCh. 2 - Prob. 75PCh. 2 - Prob. 76PCh. 2 - Prob. 77PCh. 2 - Prob. 78PCh. 2 - Prob. 79PCh. 2 - Prob. 80PCh. 2 - Prob. 81PCh. 2 - Prob. 82CPCh. 2 - Does heat generation in a solid violate the first...Ch. 2 - Prob. 84CPCh. 2 - Prob. 85CPCh. 2 - Prob. 86CPCh. 2 - Prob. 87PCh. 2 - Prob. 88PCh. 2 - Consider a large 3-cm thick stainless steel plate...Ch. 2 - Prob. 90PCh. 2 - Prob. 91EPCh. 2 - Prob. 92PCh. 2 - Prob. 93PCh. 2 - Prob. 94PCh. 2 - Heat is generated uniformly at a rate of 3 kW per...Ch. 2 - Prob. 96PCh. 2 - Prob. 97PCh. 2 - Prob. 98PCh. 2 - Prob. 99PCh. 2 - Prob. 100PCh. 2 - Prob. 101PCh. 2 - Prob. 102PCh. 2 - Prob. 103PCh. 2 - Prob. 104PCh. 2 - Prob. 105PCh. 2 - Prob. 106PCh. 2 - Prob. 107PCh. 2 - Prob. 108PCh. 2 - Prob. 109CPCh. 2 - When the thermal conductivity of a medium varies...Ch. 2 - The temperature of a plane wall during steady...Ch. 2 - Consider steady one-dimensional heat conduction in...Ch. 2 - Prob. 113CPCh. 2 - Prob. 114PCh. 2 - Prob. 115PCh. 2 - Prob. 116PCh. 2 - Consider a plane wall of thickness L whose thermal...Ch. 2 - Prob. 118PCh. 2 - Prob. 119PCh. 2 - A pipe is used for transporting boiling water in...Ch. 2 - Prob. 121PCh. 2 - Prob. 122PCh. 2 - Consider a spherical shell of inner radius r1 and...Ch. 2 - Prob. 124PCh. 2 - A spherical tank is filled with ice slurry, where...Ch. 2 - Prob. 126CPCh. 2 - Prob. 127CPCh. 2 - Can a differential equation involve more than one...Ch. 2 - Prob. 129CPCh. 2 - Prob. 130CPCh. 2 - Prob. 131CPCh. 2 - Prob. 132CPCh. 2 - How is integation related to derivation?Ch. 2 - Prob. 134CPCh. 2 - Prob. 135CPCh. 2 - How is the order of a differential equation...Ch. 2 - How do you distinguish a linear differential...Ch. 2 - How do you recognize a linear homogeneous...Ch. 2 - How do differential equations with constant...Ch. 2 - What kinds of differential equations can be solved...Ch. 2 - Consider a third-order linear and homogeneous...Ch. 2 - A large plane wall, with a thickness L and a...Ch. 2 - Prob. 143PCh. 2 - Prob. 144EPCh. 2 - A spherical vessel has an inner radius r1 and an...Ch. 2 - Consider a short cylinder of radius r0 and height...Ch. 2 - Prob. 147PCh. 2 - Consider a 20-cm-thick large concrete plane wall...Ch. 2 - Prob. 149PCh. 2 - Prob. 150PCh. 2 - Prob. 151PCh. 2 - Prob. 152PCh. 2 - Prob. 153PCh. 2 - Prob. 154EPCh. 2 - Prob. 155PCh. 2 - Consider a water pipe of length L=17m, inner...Ch. 2 - Prob. 157PCh. 2 - In a manufacturing plant, a quench hardening...Ch. 2 - Consider a spherical reactor of 5-cm diameter...Ch. 2 - Consider a cylindrical sheel of length L, inner...Ch. 2 - A pipe is used for transporting boiling water in...Ch. 2 - A metal spherical tank is filled with chemicals...Ch. 2 - The heat conduction equation in a medium is given...Ch. 2 - Consider a medium in which the heat conduction...Ch. 2 - Consider a large plane wall of thicness L, thermal...Ch. 2 - A solar heat flux qs is incident on a sidewalk...Ch. 2 - A plane wall of thickness L is subjected to...Ch. 2 - Consider steady one-dimensional heat conduction...Ch. 2 - The conduction eqution boundary condition for an...Ch. 2 - Prob. 170PCh. 2 - Prob. 171PCh. 2 - The temperatures at the inner and outer surfaces...Ch. 2 - The thermal conductivity of a solid depends upon...Ch. 2 - Prob. 174PCh. 2 - Prob. 175PCh. 2 - Prob. 176PCh. 2 - Prob. 177PCh. 2 - Prob. 178PCh. 2 - Write essay on heat generation in nuc1e e1 rods....Ch. 2 - Write an interactive computer program to calculate...Ch. 2 - Prob. 181P
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
- (read image)arrow_forward(read image)arrow_forward6: Refer to the figure.Given: W1 = 200 kN/m; W2 = 300 kN/m; L1 = 2 m; L2 = 3 m; L3 = 2 m(a) Calculate the total length L so that the resulting upward pressureq is uniform. (b) draw the shear and moment diagram and determinethe maximum shear, maximum positive and negative bendingmoments.arrow_forward
- A six cylinder, four-stroke diesel engine develops a power of 200 kW at 2000 rpm. The bsfc is 0.2 kW/kg h of fuel with 34.9° API. The fuel is injected at an average pressure of 350 bar and the pressure in the combustion chamber is 40 bar. Assuming Ca for injector 0.75 and the atmospheric pressure 1 bar. Determine the period of injection in seconds if the total orifice area required per injector is 0.4876 × 10-6 m².arrow_forwardTrieed a detailed drawing Win explanatio LL Antsmi 1981x pu + 96252 اه 6. The Pre-combustion chamber design engines employ nozzle type commonly referred to as a ....... a. inward-opening nozzle b. multiple-hole nozzle. c. pintle nozzle. d. none of these. 7. If the temperature of the spark plug tip is less than 350 °C, ......... a. the plug might not work. b. the carbon deposits would increase. 8. Port injection sprays fuel....... c. pre-ignition will occur. d. none of these. a. towards the intake valve. b. in the engine cylinder. c. in the throttle body assembly. d. none of these. 9. When the fuel-air mixture changed from best power to a richer ratio, the spark advance should be........ a. increased. b. decreased. c. left unchanged. d. none of these. d. none of these. 10. Spark plugs are classified as hot plugs and cold plugs depending upon ........ a. spark gap. b. the type of plug c. the operating temperature insulator. range of the electrode tip. ---20125 750 x2.01 SP 5.arrow_forwardA 1. How does the octane number (O.N.) of the fuel a. Higher ignition advance is required for a high O.N. fuel. b. Higher ignition retard is required for a high O.N. fuel. affect spark ing:d. Nou does not affect spark timing. c. The octane number 2. How does the ignition system account for load change? these. of a. The throttle b. The vacuum ignition governor c. The mechanism of d. None of is wide opened. provide additional spark advance at part throttle positions. centrifugal advance does the job. these. 3. In the common rail fuel system the fuel is metered by ........ a. low pressure pump. b. injectors. c. high pressure pump. d. none of these. 4.......... is the time period, measured in degrees of cam rotation, during which the contact points remain closed between each opening. a. Distributor. b. Dwell. c. ECU. d. none of these. 5. The trigger wheel in TCI system replaces the ......... used in a contact breaker distributor. a. pickup coil. b. distributor cam. c. condenser. 750 x2.01…arrow_forward
- a い يكا 4 +91- pu Answer the following statements by true or false, giving the reason for your answer: 1. Injection pressure in CI engines should be sufficiently high. 2. The purpose of the condenser in battery ignition system is to prevent spark in the ignition coil assembly. 3. An idling engine requires lean mixture of fuel and air. 4. Factors which decide optimum engine firing order are engine vibration, engine cooling and back pressure. 5. It is the duty of the header to control over speeding during CI engine operation when drastic reduction in load occurs. ---20125 750 x2.01 SParrow_forward6. The Pre-combustion chamber design engines employ nozzle type commonly referred to as a a. inward-opening nozzle b. multiple-hole nozzle. c. pintle nozzle. d. none of these. 7. If the temperature of the spark plug tip is less than 350 °C, ........ a. the plug might b. the carbon deposits not work. would increase. c. pre-ignition will occur. d. none of these. 8. Port injection sprays fuel........ a. towards the intake valve. b. in the engine cylinder. c. in the throttle body d. none of assembly. these. 9. When the fuel-air mixture changed from best power to a richer ratio, the spark advance should be ........ a. increased. b. decreased. c. left unchanged. d. none of these. 10. Spark plugs are classified as hot plugs and cold plugs depending upon a. spark gap. b. the type of plug c. the operating temperature d. none of these. range of the electrode tip. insulator.arrow_forward1: A H = 6 m cantilever retaining wall is subjected to a soil pressurelinearly varying from zero at the top to 90 kPa at the bottom. As an additionalsupport, it is anchored at depth y = 2 m. with maximum tension equal to 25kN. Assume that the stem provides fully retrained support. Draw the shearand moment diagram of the wall to calculate the following: (a) Maximumpositive bending moment per linear meter; (b) maximum negative bendingmoment per linear meter; (c) maximum shear force per linear meter.arrow_forward
- CORRECT AND DETAILED SOLUTION WITH COMPLETE FBD ONLY. I WILL UPVOTE. 9: The beam shown has a width of 80 mm and its allowable bending stress is not to exceed 120 MPa. Calculatethe required depth of the beam.arrow_forwardPROBLEM 4: A pre-stressed concrete pile of length L (m) is to be picked up by crane cables at two points, both equidistant from the ends. If the concrete pile has a cross-sectional area of A (m²) and concrete has unit weight of Yc (kN/m³), calculate the distance of the pick-up points from the end in terms of pile length. (Hint: to minimize the absolute maximum moment, the maximum negative and maximum negative moments should be equal)arrow_forwardCorrect and detailed solution only. Complete fbd. I will upvote.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY

Elements Of Electromagnetics
Mechanical Engineering
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Oxford University Press

Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:9780134319650
Author:Russell C. Hibbeler
Publisher:PEARSON

Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:9781259822674
Author:Yunus A. Cengel Dr., Michael A. Boles
Publisher:McGraw-Hill Education

Control Systems Engineering
Mechanical Engineering
ISBN:9781118170519
Author:Norman S. Nise
Publisher:WILEY

Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning

Engineering Mechanics: Statics
Mechanical Engineering
ISBN:9781118807330
Author:James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:WILEY
Thermodynamics: Maxwell relations proofs 1 (from ; Author: lseinjr1;https://www.youtube.com/watch?v=MNusZ2C3VFw;License: Standard Youtube License