Modeling the thermo physical behavior of metallic porous fin on varying convective loads

Muhammad Mustahsan; Hafiz Muhammad Younas; Nadeem Salamat; Muhammad Touqeer; Muntazim Abbas

doi:10.17485/IJST/v14i6.1761

Article

Modeling the thermo physical behavior of metallic porous fin on varying convective loads

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v14i6.1761

Year: 2021, Volume: 14, Issue: 6, Pages: 558-572

Original Article

Modeling the thermo physical behavior of metallic porous fin on varying convective loads

Muhammad Mustahsan^1*, Hafiz Muhammad Younas¹, Nadeem Salamat², Muhammad Touqeer³, Muntazim Abbas²

¹Department of Mathematics, The Islamia University of Bahawalpur, Pakistan
²Department of Mathematics, Khawaja Fareed UEIT, Rahim Yar Khan, Pakistan
³Basic Sciences Department, University of Engineering and Technology, Taxila, Pakistan

*Corresponding Author
Email: [email protected]

Received Date:05 October 2020, Accepted Date:20 December 2020, Published Date:23 February 2021

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

Background/ Objectives: Porous-permeable structured fins are the principal operational mechanism for enhancing the percentage of heat evolved and dissipated because of their many thermo physical characteristics. Study of thermal gradients on the basis of convective loads in porous fins is important in many engineering fields. Methods: In the present fractional investigation, well-established optimal homotopy asymptotic method (OHAM) has been applied on thermal system expressed in nonlinear fractional order of ordinary differential equations for Darcy’s approach for porous-structured fin. Hereparameters related to porosity, permeability and convection have been deliberated. In order to study the thermal solicitations, the thermal analysis with insulated tip of copper based alloy is studied. Findings: It is found that porosity of system is influencing more than other factors. Novelty: This study demonstrates the efficiency of OHAM as well.

Keywords: Porous; thermal; Optimal Homotopy Asymptotic Method (OHAM); darcy

References

Saedodin S, Shahbabaei M. Thermal Analysis of Natural Convection in Porous Fins with Homotopy Perturbation Method (HPM) Arabian Journal for Science and Engineering. 2013;38(8):2227–2231. Available from: https://dx.doi.org/10.1007/s13369-013-0581-6
Chakrabarti SS, Das PK, Ghosh I. Thermal behavior of wet porous and solid fin-Experimental and analytical approach. I. J. Mechanical Sciences. 2018;149:112–121.
Al-Srayyih BM, Gao S, Hussain SH. Effects of linearly heated left wall on natural convection within a superposed cavity filled with composite nanofluid-porous layers. Advanced Powder Technology. 2019;30(1):55–72. Available from: https://dx.doi.org/10.1016/j.apt.2018.10.007
Akbarzadeh P, Mahian O. The onset of Nano fluid natural convection inside a porous layer with rough boundaries. Journal of Molecular Liquids. 2018;272:344–352.
Joo Y, Kim J, S. Thermal optimization of vertically oriented, internally finned tubes in natural convection. International Journal of Heat and Mass Transfer. 2016;93:991–999.
Hatami M, Hasanpour A, Ganji D. Heat transfer study through porous fins (DOCXUPLOAD:INLINE:a3a9f7538e7a478989269b76dfa99894:ENDEQNBLOCK and DOCXUPLOAD:INLINE:ee8c7b681cf8494c92bd042a663937a0:ENDEQNBLOCK) with temperature-dependent heat generation. Energy Conversion and Management. 2013;74:9–16.
Ghasemi SE, Hatami H, Ganji DD. Thermal analysis of convective fin with temperature dependent thermal conductivity and heat generation. 2014.
Das. Estimation of parameters in a fin with temperature-dependent thermal conductivity and radiation. In: Proc Inst Mech Eng E J Process Mech Eng. (Vol. 230, pp. 474-485) 2016.
Kiwan S, Al-Nimr MA. Using Porous Fins for Heat Transfer Enhancement. Journal of Heat Transfer. 2001;123(4):790–795. Available from: https://dx.doi.org/10.1115/1.1371922
Kiwan S. Thermal Analysis of Natural Convection Porous Fins. Transport in Porous Media. 2007;67(1):17–29. Available from: https://dx.doi.org/10.1007/s11242-006-0010-3
Khaled ARA. Investigation of Heat Transfer Enhancement Through Permeable Fins. Journal of Heat Transfer. 2010;132(3):132. Available from: https://dx.doi.org/10.1115/1.4000056
Kiwan S, Zeitoun O. Natural convection in a horizontal cylindrical annulus using porous fins. International Journal of Numerical Methods for Heat & Fluid Flow. 2008;18(5):618–634. Available from: https://dx.doi.org/10.1108/09615530810879747
Sobamowo MG, Kamiyo OM, Adeleye OA. Thermal performance analysis of a natural convection porous fin with temperature-dependent thermal conductivity and internal heat generation. Thermal Science and Engineering Progress. 2017;1:39–52. Available from: https://dx.doi.org/10.1016/j.tsep.2017.02.007
Ghalambaz M, Jamesahar E, Ismael MA, Chamkha AJ. Fluid-structure interaction study of natural convection heat transfer over a flexible oscillating fin in a square cavity. International Journal of Thermal Sciences. 2017;111:256–273. Available from: https://dx.doi.org/10.1016/j.ijthermalsci.2016.09.001
Cuce E, Cuce PM. A successful application of homotopy perturbation method for efficiency and effectiveness assessment of longitudinal porous fins. Energy Conversion and Management. 2015;93:92–99. Available from: https://dx.doi.org/10.1016/j.enconman.2015.01.003
Ma J, Sun YS, Li BW, Chen H. Spectral collocation method for radiative- conductive porous fin with temperature dependent properties. Energy Convers Manage. 2016;111:279–288.
Moradi A, Fallah APM, Hayat T, Aldossary OM. On Solution of Natural Convection and Radiation Heat Transfer Problem in a Moving Porous Fin. Arabian Journal for Science and Engineering. 2014;39(2):1303–1312. Available from: https://dx.doi.org/10.1007/s13369-013-0708-9
Bhanja D, Kundu B, Aziz A. Enhancement of heat transfer from a continuously moving porous fin exposed in convective–radiative environment. Energy Conversion and Management. 2014;88:842–853. Available from: https://dx.doi.org/10.1016/j.enconman.2014.09.016
Hatami M, Ahangar GHRM, Ganji DD, Boubaker K. Refrigeration efficiency analysis for fully wet semi-spherical porous fins. Energy Conversion and Management. 2014;84:533–540. Available from: https://dx.doi.org/10.1016/j.enconman.2014.05.007
Roy S, Schell KG, Bucharsky EC, Weidenmann KA, Wanner A, Hoffmann MJ. Processing and characterization of elastic and thermal expansion behaviour of interpenetrating Al12Si/alumina composites. Materials Science and Engineering: A. 2019;743:339–348. Available from: https://dx.doi.org/10.1016/j.msea.2018.11.100
Sobamowo MG, Kamiyo OM, Adeleye OA. Thermal performance analysis of a natural convection porous fin with temperature-dependent thermal conductivity and internal heat generation. Thermal Science and Engineering Progress. 2017;1:39–52. Available from: https://dx.doi.org/10.1016/j.tsep.2017.02.007
Yasong JM, Lic S. Simulation of combined conductive, convective and radiative heat transfer in moving irregular porous fins by spectral element method. I J of Thermal Sciences. 2017;118:475–487.
Hirata Y, Kinoshita Y, Shimonosono T, Chaen T. Theoretical and experimental analyses of thermal properties of porous polycrystalline mullite. Ceramics International. 2017;43(13):9973–9978. Available from: https://dx.doi.org/10.1016/j.ceramint.2017.05.009
Ouyang XL, Xu RN, Jiang PX. Three-equation local thermal non-equilibrium model for transient heat transfer in porous media: The internal thermal conduction effect in the solid phase. International Journal of Heat and Mass Transfer. 2017;115:1113–1124. Available from: https://dx.doi.org/10.1016/j.ijheatmasstransfer.2017.07.088
Wang L, Zeng Z, Zhang L, Xie H, Lu Y. A lattice Boltzmann model for thermal flows through porous media. Applied Thermal Engineering. 2016;108:66–75.
Tang GH, Bi C, Zhao Y, Tao WQ. Thermal transport in nano-porous insulation of aerogel: Factors, models and outlook. Energy. 2015;90:701–721. Available from: https://dx.doi.org/10.1016/j.energy.2015.07.109
Ozgumus T, Mobedi M. Effect of pore to throat size ratio on thermal dispersion in porous media. International Journal of Thermal Sciences. 2016;104:135–145. Available from: https://dx.doi.org/10.1016/j.ijthermalsci.2016.01.003
Jin X, Dong L, Li Q, Tang H, Qu Q. Thermal shock cracking of porous ZrB2-SiC ceramics. Ceramics International. 2016;42(11):13309–13313.
Marinca V, Herisanu N. The optimal homotopy asymptotic method for solving Blasius equation. Appl. Maths. Comput. 2014;231:134–139.
Ali L, Tassaddiq A, Ali R, Islam S, Gul T, Kumam P, et al. A new analytical approach for the research of thin‐film flow of magneto hydrodynamic fluid in the presence of thermal conductivity and variable viscosity. ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik. 2021;101(2). Available from: https://dx.doi.org/10.1002/zamm.201900292
Esfe MH, Bahiraei M, Hajbarati H, Valadkhani M. A comprehensive review on convective heat transfer of nanofluids in porous media: Energy-related and thermohydraulic characteristics. Applied Thermal Engineering. 2020;178. Available from: https://dx.doi.org/10.1016/j.applthermaleng.2020.115487
Ndlovu PL, Moitsheki RJ. Steady state heat transfer analysis in a rectangular moving porous fin. Propulsion and Power Research. 2020;9:188–196. Available from: https://dx.doi.org/10.1016/j.jppr.2020.03.002
Shah Z, Bonyah E, Islam S, Gul T. Impact of thermal radiation on electrical MHD rotating flow of Carbon nanotubes over a stretching sheet. AIP Advances. 2019;9(1). Available from: https://dx.doi.org/10.1063/1.5048078
Shah Z, Dawar A, Islam S, Khan I, Ching C. Darcy-Forchheimer Flow of Radiative Carbon Nanotubes with Microstructure and Inertial Characteristics in the Rotating Frame. 2019.
Shah Z, Dawar A, Alzahrani EO, Kumam P, Khan AJ, Islam S. Hall Effect on Couple Stress 3D Nanofluid Flow Over an Exponentially Stretched Surface With Cattaneo Christov Heat Flux Model. IEEE Access. 2019;7:64844–64855. Available from: https://dx.doi.org/10.1109/access.2019.2916162
Nasir S, Shah Z, Islam S, Khan W, Khan SN. Radiative flow of magneto hydrodynamics single-walled carbon nanotube over a convectively heated stretchable rotating disk with velocity slip effect. Advances in Mechanical Engineering. 2019;11(3). Available from: https://dx.doi.org/10.1177/1687814019827713
Nasir S, Shah Z, Islam S, Bonyah E, Gul T. Darcy Forchheimer nanofluid thin film flow of SWCNTs and heat transfer analysis over an unsteady stretching sheet. AIP Advances. 2019;9(1). Available from: https://dx.doi.org/10.1063/1.5083972
Shah Z, Dawar A, Kumam P, Khan W, Islam S. Impact of Nonlinear Thermal Radiation on MHD Nanofluid Thin Film Flow over a Horizontally Rotating Disk. Applied Sciences. 2019;9(8). Available from: https://dx.doi.org/10.3390/app9081533
Shah Z, Islam S, Ayaz H, Khan S. Radiative Heat and Mass Transfer Analysis of Micropolar Nanofluid Flow of Casson Fluid Between Two Rotating Parallel Plates With Effects of Hall Current. Journal of Heat Transfer. 2019;141(2). Available from: https://dx.doi.org/10.1115/1.4040415
Sheikholeslami M, Shah Z, Shafee A, Khan I, Tlili I. Uniform magnetic force impact on water based nanofluid thermal behavior in a porous enclosure with ellipse shaped obstacle. Scientific Reports. 2019;9(1):1196. Available from: https://dx.doi.org/10.1038/s41598-018-37964-y
Sheikholeslami M, Shah Z, Tassaddiq A, Shafee A, Khan I. Application of Electric Field for Augmentation of Ferrofluid Heat Transfer in an Enclosure Including Double Moving Walls. IEEE Access. 2019;7:21048–21056. Available from: https://dx.doi.org/10.1109/access.2019.2896206
Shah Z, Islam S, Gul T, Bonyah E, Khan MA. The electrical MHD and Hall current impact on micropolar nanofluid flow between rotating parallel plates. Results in Physics. 2018;9:1201–1214. Available from: https://dx.doi.org/10.1016/j.rinp.2018.01.064
Kumar R, Kumar R, Shehzad SA, Chamkha AJ. Optimal treatment of stratified Carreau and Casson nanofluids flows in Darcy-Forchheimer porous space over porous matrix. Applied Mathematics and Mechanics. 2020;41(11):1651–1670. Available from: https://dx.doi.org/10.1007/s10483-020-2655-7
Nawaz R, Hussain Z, Khattak A, Khan A. Extension of Optimal Homotopy Asymptotic Method with Use of Daftardar–Jeffery Polynomials to Coupled Nonlinear-Korteweg-De-Vries System. Complexity. 2020;2020:1–6. Available from: https://dx.doi.org/10.1155/2020/6952709
Iqbal S, Idrees M, Siddiqui AM, Ansari AR. Some solutions of the linear and nonlinear Klein–Gordon equations using the optimal homotopy asymptotic method. Applied Mathematics and Computation. 2010;216(10):2898–2909. Available from: https://dx.doi.org/10.1016/j.amc.2010.04.001
Iqbal S, Javed A. Application of optimal homotopy asymptotic method for the analytic solution of singular Lane–Emden type equation. Applied Mathematics and Computation. 2011;217(19):7753–7761. Available from: https://dx.doi.org/10.1016/j.amc.2011.02.083
Hashmi MS, Khan N, Iqbal S. Numerical solutions of weakly singular Volterra integral equations using the optimal homotopy asymptotic method. Computers & Mathematics with Applications. 2012;64(6):1567–1574. Available from: https://dx.doi.org/10.1016/j.camwa.2011.12.084
Hashmi MS, Khan N, Iqbal S. Optimal homotopy asymptotic method for solving nonlinear Fredholm integral equations of second kind. Applied Mathematics and Computation. 2012;218(22):10982–10989. Available from: https://dx.doi.org/10.1016/j.amc.2012.04.059
Javed A, Iqbal S, Hashmi MS, Amir HD, Khan N. Semi analytical solutions of non-linear problems of deformation beams and plate detection theory using optimal homotopy asymptotic method. Heat Transfer Res. 2014. Available from: http://dx.doi.org/10.1615/HeatTransRes.2014007084
Golbabai A, Fardi M, Sayevand K. Application of the optimal homotopy asymptotic method for solving a strongly nonlinear oscillatory system. Mathematical and Computer Modelling. 2013;58(11-12):1837–1843. Available from: https://dx.doi.org/10.1016/j.mcm.2011.12.027
Pankaj S, Santosh B, Kishor K, Sarang J. Experimental Investigation of Heat Transfer by Natural Convection with Perforated Pin Fin Array. Procedia Manufacturing. 2018;20:311–317. Available from: https://dx.doi.org/10.1016/j.promfg.2018.02.046
Tijani AS, Jaffri NB. Thermal analysis of perforated pin-fins heat sink under forced convection condition. Procedia Manufacturing. 2018;24:290–298. Available from: https://dx.doi.org/10.1016/j.promfg.2018.06.025
Kwon H, Joo Y, Kim SJ. Analytic approach to thermal optimization of horizontally oriented radial plate-fin heat sinks in natural convection. Energy Conversion and Management. 2018;156:555–567. Available from: https://dx.doi.org/10.1016/j.enconman.2017.11.076

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© 2021 Mustahsan et al.This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)