Unsteady Magnetohydrodynamic Flow of Second Grade Nanofluid (Ag-Cu) with CPC Fractional Derivative

nanofluid

Authors

  • Ahmad Shafique Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • Muhammad Ramzan Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan
  • Zaib Un Nisa Department of Mathematics, University of Education Lahore, Multan Campus, Multan, Pakistan
  • Mudassar Nazar School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, China
  • Hafeez Ahmad School of Quantitative Science (SQS), University Utara Malaysia, Changloon, Kedah, Malaysia

DOI:

https://doi.org/10.37934/arfmts.97.2.103114

Keywords:

Free convection, second grade fluid, magnetic field, CPC fractional parameter

Abstract

Unsteady magnetohydrodynamics (MHD) flow of fractionalized second grade nanofluid (Ag-Cu) over a vertical plate is obtained. The model is solved by using CPC fractional derivative. The novelty of present study is to generalized the model by using Fourier’s and Fick’s laws. The nanofluids are formed by dispersing two different nanoparticles, silver (Ag) and copper (Cu), into a based fluid. The governing dimensionless equations for velocity, concentration, and temperature profiles are solved using Laplace transform method and compared graphically. The effects of different parameters like fractional parameter, second grade parameter and magnetic parameter M are discussed through numerous graphs. From figures, it is observed that second grade and magnetic field have decreasing effect on velocity profile, whereas mass Grashof number have increasing effect on velocity of fluid.

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Author Biographies

Ahmad Shafique, Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

ahmadshafique1032@gmail.com

Muhammad Ramzan, Centre for Advanced Studies in Pure and Applied Mathematics, Bahauddin Zakariya University, Multan, Pakistan

muhammadramzan443445@gmail.com

Zaib Un Nisa, Department of Mathematics, University of Education Lahore, Multan Campus, Multan, Pakistan

zaibrao.777@yahoo.com

Mudassar Nazar, School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, China

mudassar_666@yahoo.com

Hafeez Ahmad, School of Quantitative Science (SQS), University Utara Malaysia, Changloon, Kedah, Malaysia

ranahafeez608@gmail.com

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Published

2022-07-10

How to Cite

Ahmad Shafique, Muhammad Ramzan, Zaib Un Nisa, Mudassar Nazar, & Hafeez Ahmad. (2022). Unsteady Magnetohydrodynamic Flow of Second Grade Nanofluid (Ag-Cu) with CPC Fractional Derivative: nanofluid. Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 97(2), 103–114. https://doi.org/10.37934/arfmts.97.2.103114

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