Numerical investigation of entropy generation of Joule heating in non-axisymmetric flow of hybrid nanofluid towards stretching surface

Author:

Rafique Khadija1,Mahmood Zafar1ORCID,Adnan 2,Khan Umar1,Muhammad Taseer3,El-Rahman Magda Abd4,Bajri Sanaa A5,El-Wahed Khalifa Hamiden Abd67

Affiliation:

1. Department of Mathematics and Statistics, Hazara University , Mansehra 21300 , Pakistan

2. Department of Mathematics, Mohi-ud-Din Islamic University , Nerian Sharif, AJ&K 12080 , Pakistan

3. Department of Mathematics, College of Science, King Khalid University , Abha 61413 , Saudi Arabia

4. Department of Physics, College of Science, King Khalid University , Abha 61413 , Saudi Arabia

5. Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University , P.O. Box 84428 Riyadh 11671 , Saudi Arabia

6. Department of Mathematics, College of Science, Qassim University , Buraydah 51452 , Saudi Arabia

7. Department of Operations and Management Research, Faculty of Graduate Studies for Statistical Research, Cairo University , Giza 12613 , Egypt

Abstract

Abstract The industrial sector has shown a growing interest in hybrid nanofluids affected by magnetohydrodynamics (MHD) owing to their wide range of applications, including photovoltaic water heaters and scraped surface heat exchangers. The main purpose of this study is to look at how entropy is created in a hybrid nanofluid of ${\rm{A{{l}_2}{{O}_3}{-}Cu}}$ mixed with ${\rm{{{H}_2}O}}$ at a non-axisymmetric stagnation point flow with Joule heating and viscous dissipation. By using appropriate non-similarity transformations, the partial differential equations (PDEs) governing the boundary layer region of this issue are transformed into a set of non-linear PDEs. The BVP4c MATLAB program, which uses local non-similarity and additional truncation, may fix the problem. The velocity profiles in both directions grow when the values of ${{\phi }_2},\ M,\lambda $, and A parameters increase. The temperature profile rises as the values of A and $Ec$ grow and lowers as ${{\phi }_2}$ and M increase. The obtained numerical findings demonstrate significant impacts on both the heat transfer rate and fluid flow parameters of the hybrid nanofluid. When the concentration of nanoparticles and the magnetic parameter are heightened, there is an enhancement seen in the skin friction coefficient and decline in heat transfer rate. In addition, the entropy production profile shows an increasing tendency as a function of the parameters ${{\phi }_2},\ M,$ and $Br,$ while demonstrating a decreasing tendency of function of the parameter $\alpha $. The Bejan number profile has a positive correlation with the parameter $\alpha $ but shows a negative correlation with the variables ${{\phi }_2},\ M,$ and $Br$.

Funder

King Khalid University

Publisher

Oxford University Press (OUP)

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