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 HEAT TRANSFER

Heat transfer can be defined as the study of the heat flow. In other words, it is the transition of heat or thermal energy from any object which is hotter to cooler object. It is basically concerned with the two things. First is temperature which represents amount of the thermal energy that is available & heat flow which is used to represent movement of the thermal energy from place to place.  Basically, there is a main effect of heat transfer which causes the collision of the particles of one substance with the particles of any other substance.

There are three broad categories in which the mechanisms of heat transfer can be grouped. These are conduction, convection and radiation. In simple words, heat transfer can be done by convection, conduction or radiation. In the conduction, the heat is transferred through the solid objects. For example, heat transfer from outside of a house to inside of a house. In radiation, the heat comes out from a source of heat for warming a surface. For example, the sun which is shinning heating the furniture or floor via a window directly. In the convection, the heat is passed by the circulation of gases or liquids. For example, hot air in a room increases, drawing the cooler air from low.

Heat transfer mainly deals with the flow of heat in a system from hotter object to the cooler object. It refers to a form of energy which can be transfer from one zone to another due to the existence of difference in temperature.
Heat transfer mainly deals with two things i.e. heat flow and temperature. Transfer of heat can be slowed but can never be terminated. Heat transfer can be divided into two types which are listed below:
1. Steady-state heat transfer: in this, the aggregate of heat transfer will be same with the passage of time. Formulae of steady-state heat transfer is T=f v(x,y,z).
2. Unsteady-state heat transfer: in this, the aggregate of the heat transfer can be change with the passage of time. Formulae of unsteady-state heat transfer is T= f (x,y,z;t).

The Stefan-Boltzmann law determines that whole radiation which is released by the black body is equivalent to the fourth power of its absolute temperature. It can be represented as E = σT4, whereas E refers to the radiant heat energy and T denoted for absolute temperature. Further, Stefan-Boltzmann constant can be defined as a constant which is directly proportional to its law.

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Some of the homework help topics include:

  • steady and unsteady heat conduction ,Introductory Material and Control Volume Analysis ,Conduction - Fourier's law
  • numerical analysis,1D Steady State Conduction, Fins ,Analytical and numerical solutions to 2D Conduction problems
  • Transient Conduction ,More Transient Heat Transfer ,Convection, External Flows ,Internal Flows ,Natural (Free) Convection ,Radiation
  • Stefan-Boltzmann law, Multi mode heat transfer, Heat transfer in engines, Cogeneration, Black-body radiation, convection and radiation, elementary heat exchanger design, Convection radiation, two phase flow heat transfer, heat transfer coefficient, Waste heat recovery, Unsteady state conduction, heat transfer systems, Mechanisms conduction, rarified gas flow, contact resistance, liquid metals, cooling of electronic components, and many more.

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heat exchanger analysis and heat transfer with change of phase

Questions;

Identify the important and/or possible heat transfer modes in any physical system.
Write surface and control volume energy balances with the appropriate heat transfer rate equations for any physical system.
Simplify the general heat conduction equation and write boundary conditions for any well-posed conduction heat transfer problem.
Represent any steady-state, 1-D conduction system as a thermal circuit and solve for unknown heat rates and/or temperatures.
Use the lumped capacitance method or appropriate analytical solution to solve transient conduction problems.
Calculate a convection heat transfer coefficient (h) from an appropriate empirical correlation and use it to determine a heat transfer for a variety of fluid flow configurations.
Design/specify a fin array or heat sink to meet a temperature or heat rate requirement.
Calculate pressure drop, fluid outlet temperatures, heat transfer rate, or required surface area for pipe flows and heat exchangers.
Determine view factors, compute radiation heat rates and/or temperatures in an n-sided enclosure with gray, diffuse surfaces.

Introduction to heat transfer, modes of heat transfer, control volume energy balances, general conduction equation, thermophysical properties, one dimensional steady analytical solutions, electrical analogy, dimensionless groups.

Extended surfaces, numerical methods for steady conduction, transient conduction.

Internal and external single phase forced convection.
Convective energy equation, scaling analysis and dimensionless groups.
Calculation of heat transfer coefficients analytically and with correlations.
Free convection, film condensation, and nucleate boiling.
Heat exchangers.
Combined mode analysis
Radiation physics and properties, spectral and directional effects,
shape factors and energy exchange between surfaces

Introduction to Thermodynamics ,Heat Conduction Equation ,Steady Heat Conduction ,Transient Heat Conduction
Fundamentals of Convection ,External Forced Convection ,Internal Forced Convection ,Natural Convection
Boiling and Condensation ,Heat Exchangers ,Fundamentals of Thermal Radiation
Radiation Heat Transfer ,Heat Exchangers

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HEAT TRANSFER

Introduction to fundamentals of heat transfer., conduction, forced and free convection, mixed modes , heat exchangers, , radiationDevelopment and use of analytic and empirical expressions in terms of dimensionless parameters.

HEAT TRANSFER ANALYSIS

A foundation for thermal analysis is developed in terms of the physical modes of heat transfer and the formulation of math models. , Theory of heat conduction, single-phase forced and natural convection, phase-change convection, radiation and modern applications including microelectronics, biothermal and microscale processes are addressed.

Heat Transfer
 
This assignment is worth 20% of the marks for this unit Problem Statement An electric heater is used to maintain a water bath at 80◦C, as shown in Figure 1(a). As part of reliability testing, it is necessary to know what happens to the heater and surround if the water level was to drop. As the engineer assigned this task you are required to investigate this problem using numerical heat transfer methods. In particular, you must find the temperature distribution within the heater surround
 
under three conditions:
  • Fully Submerged
  • 50% Submerged
  •  Completely exposed to air
Using these results you must comment on the observed operating requirements for the heater.
(a) Constant temperature water bath (b) Section through heater surround
 
Figure 1: Heated water bath details
 
Tasks
1. By considering the 2-dimensional cross-section through the heater surround, construct a nodal temperature grid, and derive the finite difference equations for the internal and boundary nodes.
2. Based on these equations, create a computer program to solve for the temperature field in the heater surround in each mode. (Present this graphically and numerically).
3. Considering an appropriate analytical model based on conduction shape factors and/or thermal resistance, verify the validity of the computer program.
4. Determine the maximum temperature in the heater surround for each of the cases.
5. For the semi-submerged case determine the proportion of heat transferred to the water compared with the air.
6. Check the influence of the grid size (or number of nodes) on the accuracy of the results given by the program.
 
Additional data
 
1. Any assumptions you have made must be stated.
2. The ambient air temperature is 50◦C.
3. The heat transfer coefficient between the collector and the ambient air is 5 W/m2K.
4. The heat transfer coefficient between the fluid and the collector is 100 W/m2K.
5. The conductivity of the collector material is 40 W/mK.
6. The total output of the heater is 600 W/m.
 
Report formatting
 
This assignment should be presented in a standard engineering report format. You must include the derivations of your nodal equations in the appendices. (A summary of all the equations used and one complete example derivation should be included in the body of the report. The remainder should be in an appendix and may be handwritten). Submission.
 
Heat Transfer
 
  • Steady and unsteady conduction, Numerical analysis of conduction, Natural and forced convection, Introduction to boiling, condensation and evaporation, Radiant heat exchange, Introduction to conduction. , One-dimensional steady-state conduction.
  • Transient conduction, Introduction to convection , External flow , Exclude the derivation of Equations , Internal flow , Free convection , Heat exchangers , Radiation , Convection , forced convection correlations for internal & external flow , free convection correlations.
  • boiling and condensation equations, Radiation , the blackbody, radiative surface properties, Kirchhoff’s law, view factors, radiation network diagrams, radiation exchange between surfaces, radiation shields
 
Heat Transfer
 
  • Introduction to heat transfer by the mechanisms of conduction
  • Convection and radiation
  • Heat transfer by conduction
  • Radiation
  • Convection
  • Elementary heat exchanger design
  • Mechanisms
  • Theory heat transfer
  • Applications
  • Conduction
  • Convection radiation
  • INTRODUCTION: rates of energy transfer,modes of heat transfer
  • CONDUCTION: rate equation, boundary and initial conditions, thermal properties
    ONE-DIMENSIONAL, STEADY-STATE CONDUCTION: plane wall, cylinder and sphere, composite walls, equivalent thermal circuits, Conduction with internal heat generation, Extended surfaces (fins)
  • TWO-DIMENSIONAL, STEADY-STATE CONDUCTION: Numerical steady-state heat transfer
  • TRANSIENT (UNSTEADY) CONDUCTION: Lumped capacitance, Spatial effects, Plane wall, radial systems with convection, Semi-infinite solid, Multi-dimensional systems, Numerical transient heat transfer.
  • CONVECTION: Boundary layers, laminar and turbulent flow, convection transfer equations, approximations, Similarity, integral method, dimensionless parameters, analogies, turbulence
  • EXTERNAL FLOWS: Flat plate, cylinder, sphere, tube banks, packed beds.
  • INTERNAL FLOWS, Hydrodynamic and thermal considerations, energy balance, correlations
  • FREE CONVECTION: Physical phenomena, equations, similarity, laminar and turbulent flows, Empirical correlations, free and enclosed flows.
  • HEAT EXCHANGERS: Review of Convection
  • RADIATION: Concepts Intensity, blackbody radiation, Surface emission, absorption, Kirchoff's law, gray surface, environmental radiation
  • RADIATION EXCHANGE BETWEEN SURFACES: View or shape factor, blackbody radiation exchange, Radiation exchange between gray surfaces, Radiation network method
 
Fourier’s law
Newton’s law of cooling
Stefan-boltzmann law
Conservation of energy
Heat flux
Boundary conditions
Initial conditions
One-dimensional steady-state conduction with and without heat generation
Heat transfer from extended surfaces
Two,three dimensional steady-state conduction
Numerical solutions
Transient conduction
Lumped capacitance method
Semi-infinite media
Fundamentals of thermal radiation
Black surfaces
Gray surfaces
Surface properties
View factor
Radiative exchange among black surfaces
Diffuse gray surfaces
Electric analogs
Radiation shields
Fundamentals of convection
Conservation of energy
Thermal boundary layers
Dimensionless parameters
Momentum transfer analogies
Heat,mass transfer analogies
Forced convection external flows
Similarity parameters
Laminar and turbulent boundary layers on flat surfaces
Heat transfer to cylinders,spheres, tube banks, packed beds, impinging jets
Forced convection internal flows
Laminar flow through circular and noncircular ducts
Turbulent flow through circular and noncircular ducts
Developed flow
Hydrodynamically
Thermally developing flows
Empirical correlations
Free convection boundary layer equations
Laminar boundary layers on flat surfaces
Turbulence
Empirical
Correlations
Heat exchangers
Overall heat transfer coefficient
Cocurrent flow
Countercurrent flow
Cross flow
Effectiveness-ntu method
Condensers
Evaporators
Compact heat exchangers
Heat Conduction:Thermal conductivity, Fourier’s Law, Heat transfer coefficient
One- and Two-dimensional conduction in Cartesian coordinates
1-D conduction, Fin heat transfer
Heat Convection:
Newton’s law of cooling
Nusselt number
Heat Exchanger Analysis:
Heat transfer coefficient
Heat exchangers
Thermal Radiation
Kirchoff’s Law

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