Simulation and interpretation of MHD peristaltic transport of dissipated third grade nanofluid flow across asymmetric channel under the influences of rheological characteristics and inclined magnetic field as well as heat and mass convection

ABSTRACT

Mathematical simulation of biological fluids is of upmost significance due to its numerous medical uses. Interpreting various biological flows necessitates a thorough knowledge of the peristaltic mechanism. This paper presents a computational study for the peristaltic motion within vertical asymmetric channels filled with magnetic third grade nanofluid model under the influences of rheological characteristics. Various configurations of the outer boundaries are considered, namely, square wave, multi-sinusoidal wave, trapezoidal wave, and triangular wave. An inclined magnetic field together with nanoparticles and mass concentrations as well as viscous dissipation are considered. Influences of the Dufour and Soret numbers are examined, and the cases of biological scientific assumptions which is known as low Reynolds number and long wavelength are applied. All the computations are obtained numerically using Mathematica symbolical software (ND-Solve). The major outcomes revealed that the square wave shape gives higher pressure gradients near the inlet and outlet parts while the multi-sinusoidal wave gives periodic behaviors of dp/dx. Also, it is better to maximize the variable viscosity coefficient to enhance the rate of heat transfer while, the rate of heat transfer is diminished by the growth in the thermo-diffusion effects as well as variable thermal conductivity coefficient.

KEYWORDS:

• Inclined magnetic field
• heat and mass convection
• peristaltic motion
• third-grade nanofluid model
• computational mathematics
• biological fluids

Disclosure statement

No potential conflict of interest was reported by the author.

Additional information

Notes on contributors

Sameh A. Hussein

Sameh A. Hussein obtained his doctorate degree in Applied Mathematics from Zagazig University, Department of Mathematics, Faculty of Science, Egypt. He is currently a lecturer in the Department of Mathematics, Faculty of Science, Zagazig University. Currently, his research interest is in computational sciences, applied mathematics, fluid mechanics, Mathematical Modelling, Magnetohydrodynamic, Boundary layer flows and heat and mass transfer with its application to hydromagnetic. He has several international publications in reputable Journals to his credits.