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- Title
A Numerical Study of Atangana-Baleanu and Caputo-Fabrizio for MHD Flow Problem over a Vertical Hot Stretching Sheet with Variable Viscosity and Thermal Conductivity.
- Authors
Saikia, Dipen; Saha, Utpal Kumar; Hazarika, G. C.
- Abstract
A numerical investigation has been made to study the effects of variable viscosity and thermal conductivity over a vertical hot stretching sheet by using Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) fractional derivatives. As the viscosity and thermal conductivity of a fluid are dependent on temperature, these properties are considered as a variable. We have also considered radiation and chemical reaction. The governing partial differential equations along with the boundary conditions are made dimensionless using suitable similarity transformations so that physical parameters appear in the equations and interpretations on these parameters can be done suitably. The equations so obtained are discritized using ordinary finite difference scheme and we solved the discritized equations numerically adopting a method based on the Gauss-Seidel iteration scheme. Numerical techniques are used to find the values from AB and CF formulae for fractional derivatives on time. The effects of various parameters involved in the problem viz., viscosity parameter, thermal conductivity parameter, magnetic field parameter, radiation parameter, Schmidt number, prandlt number, chemical reaction parameter etc. on velocity, temperature, and concentration distribution at the plate have been shown graphically. The coefficient of skin-friction, heat transfer rate, and Sherwood number are also obtained and presented in tabular form. The effects of each parameter are prominent. A comparison has been given on AB and CF methods in tabular form. It is observed that both the methods agreed well.
- Subjects
THERMAL conductivity; MAGNETOHYDRODYNAMICS; BOUNDARY value problems; SIMILARITY transformations; VISCOSITY; PARTIAL differential equations
- Publication
IAENG International Journal of Applied Mathematics, 2020, Vol 50, Issue 3, p102
- ISSN
1992-9978
- Publication type
Article