Thermal analysis for [Formula: see text]-sodium alginate magnetized Jeffrey's nanofluid flow past a stretching sheet embedded in a porous medium

Faisal Shahzad; Wasim Jamshed; Kottakkaran Sooppy Nisar; Nor Ain Azeany Mohd Nasir; Rabia Safdar; Abdel-Haleem Abdel-Aty; I S Yahia

doi:10.1038/s41598-022-06983-1

Thermal analysis for [Formula: see text]-sodium alginate magnetized Jeffrey's nanofluid flow past a stretching sheet embedded in a porous medium

Sci Rep. 2022 Feb 28;12(1):3287. doi: 10.1038/s41598-022-06983-1.

Authors

Faisal Shahzad¹, Wasim Jamshed¹, Kottakkaran Sooppy Nisar², Nor Ain Azeany Mohd Nasir³, Rabia Safdar⁴, Abdel-Haleem Abdel-Aty^{5

6}, I S Yahia^{7

8

9}

Affiliations

¹ Department of Mathematics, Capital University of Science and Technology (CUST), Islamabad, 44000 Pakistan.
² Department of Mathematics, College of Arts and Sciences, Prince Sattam Bin Abdulaziz University, Wadi Aldawaser, 11991 Saudi Arabia.
³ Department of Mathematics, Centre for Defence Foundation Studies, Universiti Pertahanan Nasional Malaysia, Kem Sungai Besi, 57000 Kuala Lumpur, Malaysia.
⁴ Department of Mathematics, Lahore College for Women University, Lahore, 54000 Pakistan.
⁵ Department of Physics, College of Sciences, University of Bisha, P.O. Box 344, Bisha, 61922 Saudi Arabia.
⁶ Physics Department, Faculty of Science, Al-Azhar University, Assiut, 71524 Egypt.
⁷ Laboratory of Nano-Smart Materials for Science and Technology (LNSMST), Department of Physics, Faculty of Science, King Khalid University, P.O. Box 9004, Abha, Saudi Arabia.
⁸ Research Center for Advanced Materials Science (RCAMS), King Khalid University, P.O. Box 9004, Abha, 61413 Saudi Arabia.
⁹ Nanoscience Laboratory for Environmental and Biomedical Applications (NLEBA), Semiconductor Lab., Department of Physics, Faculty of Education, Ain Shams University, Roxy, Cairo, 11757 Egypt.

Abstract

The magnetohydrodynamics (MHD) viscous Jeffrey heat transport flow past a permeable extending sheet is analyzed. The Alumina ([Formula: see text]) is chosen as nanoparticles immersed in sodium alginate ([Formula: see text]) as the based fluid. The effect of heat generation, Ohmic heating and viscous dissipation are also being investigated adopting Tiwari and Das model. The adequate similarity transformation is used to convert the governing equations to non-linear of higher-order ordinary differential equations (ODEs). The numerical solution of the transformed ODEs is accomplished using a finite-difference technique. The results are described in graphs according to selected parameters' values provided. The flow velocity reductions when the porosity parameter is augmented. The thermal distribution is affected by the presence of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text]. Deborah number and the volume fraction of nanoparticles affect the skin friction coefficient in opposite ways. A higher volume percentage of nanoparticles and a higher Deborah number are both shown to boost the rate of heat transfer. These findings suggest that the concentration of nanoparticles can be used to manipulate heat transport and nanofluid motions.