Analytical and numerical solution along with PC spreadsheets modeling for a composite fin

Mokheimer, Esmail M. A.; Antar, Mohamed A.; Farooqi, Johar; Zubair, Syed M.

doi:10.1007/s002310050116

Cited by 13 publications

(10 citation statements)

References 9 publications

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“…In [6] Baughn and Rossi used a spreadsheet program to perform a numerical solution of one-and two-dimensional transient heat conduction problem. In [7] Mokheimer et al used it to find the numerical solution of the fin problem and in [8] a method for using spreadsheets to perform a two-dimensional steady heat conduction is described. In this paper, a method for using spreadsheets to perform the numerical solution of the moving boundary problem is described.…”

Section: R E T R a C T E Dmentioning

confidence: 99%

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RETRACTED: Use of a computer program in the solidification of molten steel using a front-tracking method

Kharab

2009

Advances in Engineering Software

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Section: R E T R a C T E Dmentioning

confidence: 99%

“…It employs the method described in Section 3 to solve the moving boundary problem defined by Eqs. (1)- (7). In order to understand how the T kþ1 T kþ1…”

Section: The Spreadsheet Programmentioning

confidence: 99%

RETRACTED: Use of a computer program in the solidification of molten steel using a front-tracking method

Kharab

2009

Advances in Engineering Software

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“…Three-dimensional plot for the temperature distribution within the "n at "0.05, Bi"0.5, r"10. Mokheimer et al (1997) that simulates the limiting case of the present study as shown in Figure 4. The comparison shows that a very close agreement between both pro"les is found as shown in the graph thus validating the present model.…”

Section: Resultsmentioning

confidence: 98%

“…Ghoshdastidar and Mukhopadhyay numerical formulation would be more simpli"ed if one-dimensional heat transfer is assumed within the clad material. Mokheimer et al (1997) analysed analytically and numerically the steady heat conduction in composite "ns. They assumed one-dimensional heat conduction within the clad since it has a very small thickness compared to that of the "n. Their analytical and numerical solutions had an excellent agreement with each other and with the previously reported results as well.…”

Section: Introductionmentioning

confidence: 99%

A spreadsheet solution of transient conduction in composite fins

Mokheimer

Antar

Farooqi

et al. 2002

Int. J. Energy Res.

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SUMMARYTransient heat transfer through composite "ns is investigated by numerical methods. In this regard, governing di!erential equations of the two-dimensional "n and one-dimensional cladding are studied to examine the e!ect of Biot number and ratio of thermal conductivities of the "n material to the cladding, on the dimensionless temperature pro"les. In addition, the use of spreadsheet programs in solving the composite "n problems is investigated in somewhat more detail with regard to the solution as well as presentation of the graphical results. The results show that one-dimensional analysis, traditionally used in "n analysis, is not applicable for composite "ns, particularly when the conductivity ratio of the composite "n materials is very high.

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“…In spite of having several spreadsheet programs reported in the literature, most are concerned with simple algebraic equations, numerical integration and solutions of ordinary di!erential equations, Butch (1995), Alberto (1993) and Tontiwachwuthikul et al (1989). Few of these programs have been dedicated to partial di!erential equations specially those governing heat conduction problems with Laplace/Poisson equation as the governing equation, Mokheimer and Antar (2000), Antar (2000), Mokheimer et al (1997), Lam (1996), Kharab (1995) James and Rossi (1992) and Je!rey (1987). Very few papers reported in the literature are pertinent to #uid #ow problems.…”

Section: Introductionmentioning

confidence: 99%

Simplified solution of developing laminar forced flow between parallel plates

Mokheimer

2002

Int. J. Energy Res.

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SUMMARYA simpli"ed simulation for developing laminar forced #ow in the entrance region between two parallel plates is presented. This simulation is based on an implicit "nite di!erence numerical representation of a boundary layer model describing the #ow in the entry region. This boundary layer model comprises the two conservation equations of mass and momentum. A non-iterative implicit numerical scheme is developed to convert the partial di!erential form of these governing equations into algebraic equations. The resultant algebraic equations have been solved simultaneously via a simpli"ed simulation using spreadsheet programs as well as a Fortran code for the sake of comparison. The numerically obtained developing axial velocity pro"le at large distance downstream of the entrance shows excellent agreement with the available fully developed analytical pro"le. Comparison between the abilities of the spreadsheet simulation with other high-level programming languages is outlined.

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Analytical and numerical solution along with PC spreadsheets modeling for a composite fin

Cited by 13 publications

References 9 publications

RETRACTED: Use of a computer program in the solidification of molten steel using a front-tracking method

RETRACTED: Use of a computer program in the solidification of molten steel using a front-tracking method

A spreadsheet solution of transient conduction in composite fins

Simplified solution of developing laminar forced flow between parallel plates

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