Fundamentals of Heat and Mass Transfer
7th Edition
ISBN: 9780470917855
Author: Bergman, Theodore L./
Publisher: John Wiley & Sons Inc
expand_more
expand_more
format_list_bulleted
Videos
Textbook Question
Chapter 7, Problem 7.3P
Consider steady, parallel flow of atmospheric air over a flat plate. The air has a temperature and free stream velocity of 300 K and 25 m/s.
- Evaluate the boundary layer thickness at distances of
- Evaluate the surface shear stress and the y-velocity component at the outer edge of the boundary layer for the single plate at
- Comment on the validity of the boundary layer approximations.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Calculate the heat transfer from a 60 cm x 60 cm plate on which air flows at 40⁰C and. The plate temperature is 100⁰ C while the air speed is 5 m/s.Find the thickness of the boundary layer at a distance of x = 20 cm.
Calculate the heat transfer (in Watts) in the first 20 cm of the plate assuming unit depth, if the
plate is heated to a temperature of 100C over it complete length with air flowing over it at a
temperature of 27°C.
[Properties of air at 63.5°C are: k = 0.02749 W/mK, v = 17.36 x 10“ m/s, Cp = 1.006 kJ/kg
K and Pr= 0.7.]
FUNDAMENTALS OF CONVECTION
Consider a flat plate positioned inside a wind tunnel, and air at 1 atm and 20°C is flowing with a free stream velocity of 60 m/s.
What is the minimum length of the plate necessary for the Reynolds number to reach 2x107?
If the critical Reynolds number is 5x105, what type of flow regime would the airflow experience at 0.2 m from the leading edge?
Please, I need the solution from fundamental concepts of how the heat flow behaves in the system. That it be answered with theory of the subject
Chapter 7 Solutions
Fundamentals of Heat and Mass Transfer
Ch. 7 - Consider the following fluids at a film...Ch. 7 - Engine oil at 100C and a velocity of 0.1 m/s flows...Ch. 7 - Consider steady, parallel flow of atmospheric air...Ch. 7 - Consider a liquid metal (Pr1), with free stream...Ch. 7 - Consider the velocity boundary layer profile for...Ch. 7 - Consider a steady, turbulent boundary layer on and...Ch. 7 - Consider flow over a flat plate for which it is...Ch. 7 - A flat plate of width 1 m is maintained at a...Ch. 7 - An electric air heater consists of a horizontal...Ch. 7 - Consider atmospheric air at 25C and a velocity of...
Ch. 7 - Repeat Problem 7.11 for the case when the boundary...Ch. 7 - Consider water at 27°C in parallel flow over an...Ch. 7 - Explain under what conditions the total rate of...Ch. 7 - In fuel cell stacks, it is desirable to operate...Ch. 7 - The roof of a refrigerated truck compartment is of...Ch. 7 - The top surface of a heated compartment consists...Ch. 7 - Calculate the value of the average heat transfer...Ch. 7 - The proposed design for an anemometer to determine...Ch. 7 - Steel (AISI 1010) plates of thickness =6mm and...Ch. 7 - Consider a rectangular fin that is used to cool a...Ch. 7 - The Weather Channel reports that it is a hot,...Ch. 7 - In the production of sheet metals or plastics, it...Ch. 7 - An array of electronic chips is mounted within a...Ch. 7 - A steel strip emerges from the hot roll section of...Ch. 7 - In Problem 7.23. an anemometer design was...Ch. 7 - One hundred electrical components, each...Ch. 7 - The boundary layer associated with parallel flow...Ch. 7 - Forced air at 250C and 10 m/s is used to cool...Ch. 7 - Air at atmospheric pressure and a temperature of...Ch. 7 - Consider a thin, 50mm50mm fuel cell similar to...Ch. 7 - The cover plate of a flat-plate solar collector is...Ch. 7 - An array of 10 silicon chips, each of length...Ch. 7 - A square (10mm10mm) silicon chip is insulated on...Ch. 7 - A circular pipe of 25-mm outside diameter is...Ch. 7 - An L=1-m- long vertical copper tube of inner...Ch. 7 - A long, cylindrical, electrical heating element of...Ch. 7 - Consider the conditions of Problem 7.49, but now...Ch. 7 - Pin fins are to be specified for use in an...Ch. 7 - Prob. 7.52PCh. 7 - Prob. 7.53PCh. 7 - Hot water at 500C is routed from one building in...Ch. 7 - In a manufacturing process, long aluminum rods of...Ch. 7 - Prob. 7.58PCh. 7 - To determine air velocity changes, it is proposed...Ch. 7 - Determine the convection heat loss from both the...Ch. 7 - Prob. 7.63PCh. 7 - Prob. 7.64PCh. 7 - Prob. 7.67PCh. 7 - A thermocouple is inserted into a hot air duct to...Ch. 7 - Consider a sphere with a diameter of 20 mm and a...Ch. 7 - Prob. 7.76PCh. 7 - A spherical, underwater instrument pod used to...Ch. 7 - Worldwide. over a billion solder balls must be...Ch. 7 - Prob. 7.80PCh. 7 - Prob. 7.81PCh. 7 - Consider the plasma spray coating process of...Ch. 7 - Prob. 7.83PCh. 7 - Tissue engineering involves the development of...Ch. 7 - Consider temperature measurement in a gas stream...Ch. 7 - Prob. 7.89PCh. 7 - A preheater involves the use of condensing steam...Ch. 7 - Prob. 7.91PCh. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - A tube bank uses an aligned arrangement of...Ch. 7 - Repeat Problem 7.94, but with NL=7,NT=10, and...Ch. 7 - Heating and cooling with miniature impinging jets...Ch. 7 - A circular transistor of 10-mm diameter is cooled...Ch. 7 - A long rectangular plate of AISI 304 stainless...Ch. 7 - A cryogenic probe is used to treat cancerous skin...Ch. 7 - Prob. 7.103PCh. 7 - Prob. 7.104PCh. 7 - Prob. 7.105PCh. 7 - Consider the packed bed of aluminum spheres...Ch. 7 - Prob. 7.108PCh. 7 - Prob. 7.109PCh. 7 - Prob. 7.111PCh. 7 - Packed beds of spherical panicles can be sintered...Ch. 7 - Prob. 7.114PCh. 7 - Prob. 7.116PCh. 7 - Prob. 7.117PCh. 7 - Prob. 7.118PCh. 7 - Prob. 7.119PCh. 7 - Prob. 7.120PCh. 7 - Dry air at 35°C and a velocity of 20 m/s flows...Ch. 7 - Prob. 7.123PCh. 7 - Benzene, a known carcinogen, has been spilled on...Ch. 7 - Prob. 7.125PCh. 7 - Prob. 7.126PCh. 7 - Condenser cooling water for a power plant is...Ch. 7 - Prob. 7.128PCh. 7 - In a paper-drying process, the paper moves on a...Ch. 7 - Prob. 7.131PCh. 7 - Prob. 7.132PCh. 7 - Prob. 7.133PCh. 7 - Prob. 7.134PCh. 7 - Prob. 7.136PCh. 7 - It has been suggested that heat transfer from a...Ch. 7 - Prob. 7.138PCh. 7 - Cylindrical dry-bulb and wet-bulb thermometers are...Ch. 7 - The thermal pollution problem is associated with...Ch. 7 - Cranberries are harvested by flooding the bogs in...Ch. 7 - A spherical drop of water, 0.5 mm in diameter, is...Ch. 7 - Prob. 7.143PCh. 7 - Prob. 7.144PCh. 7 - Prob. 7.145PCh. 7 - Prob. 7.146PCh. 7 - Prob. 7.147PCh. 7 - Consider an air-conditioning system composed of a...Ch. 7 - Prob. 7.149P
Additional Engineering Textbook Solutions
Find more solutions based on key concepts
11. If a pump moves water at 70 gallons per minute [gal/min or gpm], what is the volumetric flow rate in units ...
Thinking Like an Engineer: An Active Learning Approach (3rd Edition)
What is the source of the welding heat in thermit welding?
Degarmo's Materials And Processes In Manufacturing
What are the chief functions of cutting fluids?
DeGarmo's Materials and Processes in Manufacturing
The moment of the force F about an axis extending between A and C.
Engineering Mechanics: Statics & Dynamics (14th Edition)
To drawthe thermal circuit and to mention each resistance element.
Introduction to Heat Transfer
Determine the normal stress in each member of the truss structure. All joints are ball joint, and the material ...
Introduction To Finite Element Analysis And Design
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
- Engine oil at 100C flows over and parallel to a flat surface at a velocity of 3 m/s. Calculate the thickness of the hydrodynamic boundary layer at a distance 0.3 m from the leading edge of the surface.arrow_forwardConsider a 0.38m long vertical plate that is at 70°C. The plate is suspended in quiescentair that is at 25°C. Estimate the velocity boundary layer thickness and maximum upwardvelocity at the trailing edge of the plate. How does the boundary layer thickness comparewith the thickness that would exist if the air were flowing over the plate at a free streamvelocity of 6.8 m/s?arrow_forwardQi/ An Aluminum flat plate has a continuous and smooth surface over which the air flows at 2 m/s. The plate consists of 25 part that each part is 10 mm long with 0.2 m width. During operation, each part is maintained at 500°C and the air is at 25°C. What is the rate of convection heat transfer from the first part? The sixth part? All the plate?arrow_forward
- Air at 295 K flows at 3 m/s over a flat plate at 390 K. The air properties are as follows: density =1.1 kg/m3, viscosity =18.1×10−6 Pa.s, specific heat capacity =1005 J/kgK, and thermal conductivity =0.024 W/mK. The velocity and temperature profiles are assumed to be linear, giving the local Nusselt number to be Nux = 0.289 Rex1/ 2Pr1/3. The flow will become turbulent at a Reynolds number of 5×105. Assume the width of the plate perpendicular to the air flow is 1 m. At what distance from the leading edge does the flow become turbulent? ________m What is the heat transfer at the point of transition? ___________W What is the total heat transfer along the length of the plate where the flow is laminar? __________Warrow_forwardConsider two cases involving parallel flow of dry air at V = 1.5 m/s, T=45°C, and atmospheric pressure over an isothermal plate at T = 20°C. In the first case, Rex, = 5 x 105, while in the second case the flow is tripped to a turbulent state at x = 0 m. At what x -location, in m, are the thermal boundary layer thicknesses of the two cases equal? What are the local heat fluxes, in W/m², at this location for the two cases? x = 9jam 9 turb II = i i m W/m² W/m²arrow_forwardNonearrow_forward
- For each statement, choose whether the statement is true or false and discuss your answer briefly. These statements concern a laminar boundary layer on a flat plate. (a) At a given x-location, if the Reynolds number were to increase, the boundary layer thickness would also increase. (b) As outer flow velocity increases, so does the boundary layer thickness. (c) As the fluid viscosity increases, so does the boundary layer thickness. (d) As the fluid density increases, so does the boundary layer thickness.arrow_forwardA thin, flat plate of length L = 1 m seperates two airstreams that are in parallel flow over opposite surfaces of the plate. One airstream has a temperature of T,1=200°C and a velocity of uo,1= 60 m/s, while the other airstream has a temperature of T,2= = 25°C and a velocity 10 m/s. What is the heat flux between the two streams at the mid point of the of u0,2 plate?arrow_forwardAir at 20-C and 1 atm flows over a flat plate at 35 m/s. The plate is 75 cm long and is maintained at 60-C. AJASsuming unit depth in the z direction, calculate the heat transfer from the plate. Calculate the turbulent-boundary-layer thickness at the end of the plate assuming that it develops B) from the leading edge of the plate and C) from the transition point at Recrit =5x105.arrow_forward
- I need correctlyarrow_forwardFluid flows over a flat plate, 1.2 m long. The direction of flow is along the length of the plate and parallel to the surface of the plate. The plate is held at a constant temperature of 283 K. Velocity and temperature profiles are assumed to be linear inside the boundary layers. The free stream temperature of the fluid is 340 K and it travels at 5 m/s. The fluid properties are as follows: thermal conductivity = 0.029 W/mK, density = 0.92 kg/m3, viscosity = 12.9 x 10-6 Pa.s, and specific heat capacity = 1003 J/kgK. The value of the Nusselt number at the tailing edge of the flat plate is: [ans1] The convective heat transfer from the middle of the flat plate is: [ans2] W/m2 step by step working out piease, hit final answer is 145, -281 respectivelyarrow_forwardA 0.5-m diameter uninsulated pipe transports high-temperature steam. Its surface temperature is 150°C and it is exposed to air at -10°C. The air moves in cross flow over the pipe with a velocity of 5 m/s. To compute for the Nusselt number of the air flow, what is the exact value of the temperature in °C on which the air properties should be based?arrow_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
Intro to Compressible Flows — Lesson 1; Author: Ansys Learning;https://www.youtube.com/watch?v=OgR6j8TzA5Y;License: Standard Youtube License