Fourier’s law of heat conduction, engineering, Other Engineering

Assignment Help:
Fourier’s law of heat conduction
For one dimension;
q(x) = - k dT/dx (2.1)
where qx is the heat flux in the x direction (W/m²); k is the thermal conductivity (W/mK, a property of material, see Table 1.1)and dT/dx is the temperature gradient (K/m).
For two dimensions;

Chen et al. (2002) have applied the Laplace transform technique and finite-difference method with a sequential in time concept. The least square scheme is proposed to predict the unknown surface temperature of two sided boundary conditions for a two dimensional inverse heat conduction problem.
Hsu et al. (1990) have used the finite difference method in conjunction with the linear least squares method to estimate the one-sided and two-sided boundary conditions in two-dimensional inverse heat conduction problem. In their work, they suppose that the functional form of the estimated surface temperature is given a priori and then parameterized. However, the effect of the measurement errors on the surface temperature cannot be neglected. Recently, Loulou et al. (2003) used the iterative regularization method in one dimensional inverse heat conduction problem to estimate a combination of two kinds of surface boundary conditions.
In this work, we propose a simultaneous estimation of transient distributions of two boundary heat conditions by using the iterative regularization method and transient temperature histories taken with several sensors inside a two-dimensional specimen.

Related Discussions:- Fourier’s law of heat conduction, engineering

Chemistry, explain elecrochemical series and give its applications

explain elecrochemical series and give its applications

Bonds, Objective: Students should familiarize themselves with bonds and/or ...

Objective: Students should familiarize themselves with bonds and/or preferred stock as an investment opportunity and as a source of funds. In this assignment students will determin

Clippers, WHAT IS THE DIAGRAM OF TWO LEVEL CLIPPER WITHOUT REFERENCE AND EX...

WHAT IS THE DIAGRAM OF TWO LEVEL CLIPPER WITHOUT REFERENCE AND EXPLAIN

#title.electronic devices., Advantages and dis advantages of a diode in ser...

Advantages and dis advantages of a diode in series /shunt

Security Analysis & Portfolio management, ABC Ltd. has an investment opport...

ABC Ltd. has an investment opportunity available which will involve a capital outlay in each of the next 2 years and which will produce benefits during the following 3 years. A sum

Resolving power and rayleigh criterion of resolution, Q. Explain Rayleigh c...

Q. Explain Rayleigh criterion of resolution. What is meant by resolving power of grating? Ans.   Resolving Power (i)  Meaning of Resolution : The resolving power of

Turbine cooling - aircraft engine, Turbine cooling  Airflow: Figure ill...

Turbine cooling  Airflow: Figure illustrates the turbine cooling airflow of a typical gas turbine engine. The outward flow of cooling air is controlled by air seals of multi-g

Synchro resolvers for low load, Synchro resolvers for low load: Both tr...

Synchro resolvers for low load: Both transmitter and receiver rotors are energised by the same AC supply and will induce equal and opposing voltages in the stator coils provide

Numerical method, find the newton raphson iterative formula for a reciproca...

find the newton raphson iterative formula for a reciprocal of a number N and hence find the value of 1/23.correct to 5 place of decimal

Line the crown of the tunnel, A 10m diameter circular tunnel is to be excav...

A 10m diameter circular tunnel is to be excavated in a jointed ground.  The joint sets spaced at 6m are dipping towards the West at 50°.  A horizontal circular tunnel is to be cons

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd