Approximate solution of nonlinear transient heat conduction in one dimension

Venkateshan, S. P.; Solaiappan, O.

doi:10.1007/bf01807325

Cited by 6 publications

(1 citation statement)

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“…Fi nally, a more gen eral ques tion rises: Does the ap proach work with other pro files, espe cially the so-called "hy brid pro files" [9,[25][26][27] where a spe cial func tion with a tun ing pa rame ter is used as a term mul ti ply ing the ba sic HBIM pro file? To this end, we only re lease the idea but so lu tions of spe cific prob lems are be yond the pres ent work.…”

Section: Re Sults Out Line and Ideas Thereofmentioning

confidence: 99%

Research note on a parabolic heat-balance integral method with unspecified exponent: An entropy generation approach in optimal profile determination

Hristov¹

2009

Therm. sci.

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An En tropy Gen er a tion Ap proach in Op ti mal Pro file De ter mi na tion by Jor dan HRISTOV Orig i nal sci en tific pa per UDC: 536.75:517.95The heat-bal ance in te gral method of Good man is stud ied with two sim ple 1-D heat con duc tion prob lems with pre scribed tem per a ture and flux bound ary con di tions. These clas si cal prob lems with well known ex act so lu tions en able to dem on strate the heat-bal ance in te gral method performance by a par a bolic pro file and the en tropy gen er a tion minimization con cept in def i ni tion of the ap pro pri ate pro file ex po nent. The ba sic as sump tion gen er at ing the ad di tional con straints needed to per form the so lu tion is based on the re quire ment to min i mize the dif fer ence in the lo cal ther mal en tropy gen er a tion rates cal cu lated by the ap prox i mate and the ex act pro file, respec tively. This con cept is eas ily ap pli ca ble since the gen eral con cept has sim ple im ple men ta tion of the con di tion re quir ing the ther mal en tropy generations cal culated through both pro files to be the same at the bound ary. The en tropy minimization gen er a tion ap proach au to mat i cally gen er ates the ad di tional re quirement which is de fi cient in the set of con di tions de fined by the heat-bal ance in te gral method con cept.

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Section: Re Sults Out Line and Ideas Thereofmentioning

confidence: 99%