Computers and Concrete

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Numerical calculations for bioconvection MHD Casson nanofluid flow: Study of Brownian motion

  • Hussain, Muzamal (Department of Mathematics, Govt. College University Faisalabad) ;
  • Sharif, Humaira (Department of Mathematics, Govt. College University Faisalabad) ;
  • Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Ayed, Hamdi (Department of Civil Engineering, College of Engineering, King Khalid University) ;
  • Banoqitah, Essam Mohammed (Nuclear Engineering Department, Faculty of Engineering, King Abdulaziz University) ;
  • Loukil, Hassen (Department of Electrical Engineering, College of Engineering, King Khalid University) ;
  • Ali, Imam (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department) ;
  • Mahmoud, S.R. (GRC Department, Faculty of Applied Studies, King Abdulaziz University) ;
  • Tounsi, Abdelouahed (FL (Yonsei Frontier Lab), Yonsei University)
  • Received : 2021.03.03
  • Accepted : 2022.06.21
  • Published : 2022.08.25
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Abstract

In this paper, the non-linear mathematical problem is solved via numerical scheme by utilizing shooting method. Brownian diffusion and thermophoresis along mass and heat transfer are accounted for. Non-linear expression is reduced via non-dimensional variables. The simplified ordinary differential equations are tackled by shooting technique. Behavior of distinct influential parameters is investigated graphically and analyzed for temperature and concentration profile. Our finding indicates that temperature profile is enhanced for the thermophoresis, Brownian motion coefficient, Prandtl number, Eckert number and temperature slip parameter. Comparison of numerical technique with the extant literature is made and an acceptable agreement is attained. Graphs are plotted to examine the influence of these parameters.

Keywords

Acknowledgement

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through Large Groups Project under grant number (RGP.2/155/43).

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