Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method

This study aims to inspect the steady state thermal distribution and heat transfer within a longitudinal porous fin of exponential profile wetted with hybrid nanoliquid. The aggregate influence of conduction, radiation, and convection causes heat transfer in the fin. The Darcy model and the Fourier...

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Main Authors: Amal Abdulrahman, Fehmi Gamaoun, R.S. Varun Kumar, Umair Khan, Harjot Singh Gill, K.V. Nagaraja, Sayed M. Eldin, Ahmed M. Galal
Format: Article
Language:English
Published: Elsevier 2023-03-01
Series:Case Studies in Thermal Engineering
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2214157X23000837
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author Amal Abdulrahman
Fehmi Gamaoun
R.S. Varun Kumar
Umair Khan
Harjot Singh Gill
K.V. Nagaraja
Sayed M. Eldin
Ahmed M. Galal
author_facet Amal Abdulrahman
Fehmi Gamaoun
R.S. Varun Kumar
Umair Khan
Harjot Singh Gill
K.V. Nagaraja
Sayed M. Eldin
Ahmed M. Galal
author_sort Amal Abdulrahman
collection DOAJ
description This study aims to inspect the steady state thermal distribution and heat transfer within a longitudinal porous fin of exponential profile wetted with hybrid nanoliquid. The aggregate influence of conduction, radiation, and convection causes heat transfer in the fin. The Darcy model and the Fourier law of heat conduction are used for modeling the governing ordinary differential equation (ODE) that represents the corresponding fin problem. Through the use of non-dimensional terms, the formulated equation is further simplified into a dimensionless equation along with suitable boundary condition. The arising nonlinear dimensionless equation is solved analytically using the improved residual power series method with the Pade approximant (Hybrid residual power series method/HRPSM). The consequences of various dynamic thermal parameters on thermal behavior are explored using graphical portrayal. As per the observations of this investigation, the surface wet condition by hybrid nonliquid and porous nature of the exponential fin will have a significant effect on the temperature distribution. More specifically, as the values of these corresponding parameters increase, the rate of heat transfer intensifies. Finally, the obtained HRPSM results are compared with previous investigations, and a high level of consistency is observed.
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spelling doaj.art-18710714077a42d39ae850a2116f88a42023-02-05T04:16:17ZengElsevierCase Studies in Thermal Engineering2214-157X2023-03-0143102777Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series methodAmal Abdulrahman0Fehmi Gamaoun1R.S. Varun Kumar2Umair Khan3Harjot Singh Gill4K.V. Nagaraja5Sayed M. Eldin6Ahmed M. Galal7Department of Chemistry, College of Science, King Khalid University, Abha, 61421, Saudi ArabiaDepartment of Mechanical Engineering, College of Engineering, King Khalid University, Abha, 61421, Saudi ArabiaDepartment of Studies in Mathematics, Davangere University, Davangere, 577002, Karnataka, India; Corresponding author.Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, UKM, Bangi, 43600, Selangor, Malaysia; Department of Mathematics and Social Sciences, Sukkur IBA University, Sukkur, 65200, Sindh, PakistanDepartment of Mechanical Engineering and University Centre for Research & Development, Chandigarh University, Mohali, 140413, Punjab, IndiaDepartment of Mathematics, Amrita School of Engineering, Bengaluru, Amrita Vishwa Vidyapeetham, India; Corresponding author.Center of Research, Faculty of Engineering, Future University in Egypt, New Cairo, 11835, EgyptDepartment of Mechanical Engineering, College of Engineering in Wadi Alddawasir, Prince Sattam bin Abdulaziz University, Saudi Arabia; Production Engineering and Mechanical Design Department, Faculty of Engineering, Mansoura University, P.O 35516, Mansoura, EgyptThis study aims to inspect the steady state thermal distribution and heat transfer within a longitudinal porous fin of exponential profile wetted with hybrid nanoliquid. The aggregate influence of conduction, radiation, and convection causes heat transfer in the fin. The Darcy model and the Fourier law of heat conduction are used for modeling the governing ordinary differential equation (ODE) that represents the corresponding fin problem. Through the use of non-dimensional terms, the formulated equation is further simplified into a dimensionless equation along with suitable boundary condition. The arising nonlinear dimensionless equation is solved analytically using the improved residual power series method with the Pade approximant (Hybrid residual power series method/HRPSM). The consequences of various dynamic thermal parameters on thermal behavior are explored using graphical portrayal. As per the observations of this investigation, the surface wet condition by hybrid nonliquid and porous nature of the exponential fin will have a significant effect on the temperature distribution. More specifically, as the values of these corresponding parameters increase, the rate of heat transfer intensifies. Finally, the obtained HRPSM results are compared with previous investigations, and a high level of consistency is observed.http://www.sciencedirect.com/science/article/pii/S2214157X23000837Hybrid nanofluidPorous finWetted finExponential profileHybrid residual power series method (HRPSM)
spellingShingle Amal Abdulrahman
Fehmi Gamaoun
R.S. Varun Kumar
Umair Khan
Harjot Singh Gill
K.V. Nagaraja
Sayed M. Eldin
Ahmed M. Galal
Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
Case Studies in Thermal Engineering
Hybrid nanofluid
Porous fin
Wetted fin
Exponential profile
Hybrid residual power series method (HRPSM)
title Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
title_full Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
title_fullStr Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
title_full_unstemmed Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
title_short Study of thermal variation in a longitudinal exponential porous fin wetted with TiO2−SiO2/ hexanol hybrid nanofluid using hybrid residual power series method
title_sort study of thermal variation in a longitudinal exponential porous fin wetted with tio2 sio2 hexanol hybrid nanofluid using hybrid residual power series method
topic Hybrid nanofluid
Porous fin
Wetted fin
Exponential profile
Hybrid residual power series method (HRPSM)
url http://www.sciencedirect.com/science/article/pii/S2214157X23000837
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