Доступ предоставлен для: Guest
Главная ICHMT DL Текущий год Архив Исполнительный Комитет ICHMT

EXACT AND WAVELET COLLOCATION SOLUTION OF FIN PROBLEM WITH TEMPERATURE DEPENDENT INTERNAL HEAT GENERATION

DOI: 10.1615/ICHMT.2014.IntSympConvHeatMassTransf.200
pages 281-294

Surjan Singh
DST- Centre for Interdisciplinary Mathematical Sciences Banaras Hindu University Varanasi-221005, Utter Pradesh, India

Dinesh Kumar
DST- CIMS, BHU, Varanasi India

Kabindra Nath Rai
Department of Mathematical Sciences, Indian Institute of Technology (BHU), Varanasi- 22005, Uttar Pradesh, India; DST-CIMS, Banaras Hindu University,Varanasi-22005, Uttar Pradesh, India

Аннотация

In this paper, we studied heat transfer in longitudinal fin with temperature dependent internal heat generation and temperature dependent thermal conductivity. It has been observed that solution exists and unique. We consider three particular cases when the thermal conductivity is (1) constant (2) linear and (3) exponential function of temperature. We obtained exact solution in case I and exact solution in explicit integral form is case II and III. The wavelet collocation method has been used in this nonlinear problem. In case I, exact solution is compared with those obtained by wavelet collocation solution and optimal linearization solution. It has been observed that the wavelet collocation solution and exact solution is the same while optimal linearization solutions are having error. In case II, we have compared our results with those obtained by optimal linearization solution and observed that optimal linearization method having similar error as in case I. In case III, the wavelet collocation solution is provided. The whole analysis is provided in dimensionless form. The effect of variability of different parameters on dimensionless fin temperature and on fin efficiency are studied and discussed in detailed.

ICHMT Digital Library

Bow shocks on a jet-like solid body shape. Thermal Sciences 2004, 2004. Pulsed, supersonic fuel jets - their characteristics and potential for improved diesel engine injection. PULSED, SUPERSONIC FUEL JETS - THEIR CHARACTERISTICS AND POTENTIAL FOR IMPROVED DIESEL ENGINE INJECTION
View of engine compartment components (left). Plots of temperature distributions in centreplane, forward of engine (right). CHT-04 - Advances in Computational Heat Transfer III, 2004. Devel... DEVELOPMENT AND CURRENT STATUS OF INDUSTRIAL THERMOFLUIDS CFD ANALYSIS
Pratt & Whitney's F-135 Joint Strike Fighter Engine under test in Florida is a 3600F class jet engine. TURBINE-09, 2009. Turbine airfoil leading edge stagnation aerodynamics and heat transfe... TURBINE AIRFOIL LEADING EDGE STAGNATION AERODYNAMICS AND HEAT TRANSFER - A REVIEW
Refractive index reconstructed field. (a) Second iteration. (b) Fourth iteration. Radiative Transfer - VI, 2010. Theoretical development for refractive index reconstruction from a radiative ... THEORETICAL DEVELOPMENT FOR REFRACTIVE INDEX RECONSTRUCTION FROM A RADIATIVE TRANSFER EQUATION-BASED ALGORITHM
Two inclusion test, four collimated sources. Radiative Transfer - VI, 2010. New developments in frequency domain optical tomography. Part II. Application with a L-BFGS associated to an inexa... NEW DEVELOPMENTS IN FREQUENCY DOMAIN OPTICAL TOMOGRAPHY. PART II. APPLICATION WITH A L-BFGS ASSOCIATED TO AN INEXACT LINE SEARCH