Closed-form solution for a rectangular stepped fin involving all variable thermal parameters and nonlinear boundary conditions

Singh, Kanwaljit; Das, Ranjan; Singla, Rohit

doi:10.1177/0954408916652438

Cited by 6 publications

(4 citation statements)

References 44 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…A series of numerical approaches have been reported to study magnetic field effect on flow formation in different geometries. [21][22][23][24][25][26] An attempt to include all fluid features of the flow with MHD effects render the problem so complicated in which closed-form solution may be difficult if not impossible. It is felt that a few basic theoretical solutions would point out advantages and disadvantages and yield a rough estimate of the various quantities entering the problem in real life situations.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Role of magnetic field on mixed convective flow between two concentric microtubes with heat generation/absorption: An exact solution

Jha

Oni

2018

Proceedings of the Institution of Mechanical Engineers, Part N:

View full text Add to dashboard Cite

This study examines the role of magnetic field on fully developed mixed convection flow of heat generating/absorbing fluid in a vertical micro-concentric annulus with velocity slip and temperature jump at the surfaces of the cylinders. Exact solution of momentum and energy equations are obtained separately in terms of Bessel's function and modified Bessel's function of first and second kind. The solutions obtained are graphically represented and the effects of pertinent parameters on flow formation and skin-friction are investigated in details. Results show that the role of magnetic field is to decrease fluid velocity as well as skin-friction at the outer surface of inner cylinder. In addition, reverse flow formation can be controlled by increasing magnetic field strength.

show abstract

Section: Introductionmentioning

confidence: 99%

“…A series of numerical approaches have been reported to study magnetic field effect on flow formation in different geometries. 21–26…”

Section: Introductionmentioning

confidence: 99%

Role of magnetic field on mixed convective flow between two concentric microtubes with heat generation/absorption: An exact solution

Jha

Oni

2018

Proceedings of the Institution of Mechanical Engineers, Part N:

View full text Add to dashboard Cite

show abstract

“…Kundu and Wongwises 7 presented a decomposition solution of rectangular fin with variable thermal parameter and heat transfer coefficient with base wall maintained at high temperature. Singh et al 8 presented a closed‐form solution of stepped fin with nonlinear boundary condition. Other research studies related to solve nonlinear heat transfer equation fin with classical methods are available in refs.…”

Section: Introductionmentioning

confidence: 99%

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

Roy

Mondal

Mallick³

et al. 2020

Heat Trans

View full text Add to dashboard Cite

In this article, we first propose the novel semianalytical technique-modified Adomian decomposition method (MADM)-for a closed-form solution of the nonlinear heat transfer equation of convex profile with singularity where all thermal parameters are functions of temperature. The longitudinal convex fin is subjected to different boiling regimes, which are defined by particular values of n (power index) of heat transfer coefficient. The energy balance equation of the convex fin with several temperaturedependent properties are solved separately using the MADM and the spectral quasi-linearization method. Using the values obtained from the direct heat transfer method, the unknown parameters of the profile, such as thermal conductivity, surface emissivity, heat generation number, conductionconvection parameter, and radiation-conduction parameter are inversely predicted by an inverse heat transfer analysis using the simplex search method. The effect of the measurement error and the number of measurement points has been presented. It is found that present measurement points and reconstruction of the exact temperature distribution of the convex fin are fairly in good agreement.

show abstract

“…Here it is worth mentioning that back in 2016, Singh et al. 17 studied the temperature distribution as well as efficiency of a stepped fin considering convection as well as radiation through the tip end. In another study, Singh et al.…”

Section: Introductionmentioning

confidence: 99%

A modified firefly algorithm to maximize heat dissipation of a rectangular porous fin in heat exchangers exposed to both convective and radiative environment

Deshamukhya

Nath

Hazarika

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part E:

View full text Add to dashboard Cite

The current study deals with the optimization of significant parameters of aluminium and copper rectangular porous fins using firefly algorithm with reflective boundary condition. The study has been done considering convective heat transfer, in the first case, as well as combined convective and radiative modes of heat transfer, in the second case. To solve the non-linear governing equation, a semi analytical technique, differential transformation method is adopted. The results obtained by differential transformation method are validated by the numerical solution obtained by the finite difference method. The performance of firefly algorithm is evaluated by comparing with the results obtained by particle swarm optimization where it is seen that for the current set of equations, firefly algorithm took lesser number of iterations and computational time to converge than particle swarm optimization for all the cases. The analysis has been done for three different fin volumes and the effect of important variables which directly influence the heat transfer rate through porous fins has been discussed.

show abstract

Closed-form solution for a rectangular stepped fin involving all variable thermal parameters and nonlinear boundary conditions

Cited by 6 publications

References 44 publications

Role of magnetic field on mixed convective flow between two concentric microtubes with heat generation/absorption: An exact solution

Role of magnetic field on mixed convective flow between two concentric microtubes with heat generation/absorption: An exact solution

Inverse and efficiency of heat transfer convex fin with multiple nonlinearities

A modified firefly algorithm to maximize heat dissipation of a rectangular porous fin in heat exchangers exposed to both convective and radiative environment

Contact Info

Product

Resources

About