Modeling and Interpretation of Prandtl Nanofluid Flow over an Infinite Perpendicular Absorbent Surface with Chemical Reaction, Variable Viscosity, and Hall Effect

PDF

Published: 2023-01-30

Page: 24-35


A. T. S. M. Masudul Hakim

Department of Mathematics, Rajuk Uttara Model College, Dhaka-1230, Bangladesh.

Md. Taibur Rahaman

Department of Mathematics, Rajuk Uttara Model College, Dhaka-1230, Bangladesh.

R. Biswas *

Department of Mathematics, Bangladesh University, Dhaka-1207, Bangladesh.

*Author to whom correspondence should be addressed.


Abstract

The special and unknown elements of Prandtl nanofluid are discussed in this extant composition where the maturation of Soret, Hall breeze, and chemical reaction are permitted in this subordination. The recognized exemplar equation is transformed by utilizing distinguishable alikeness variables and the dimensionless equations are interpreted by the method of EFDM with the Fortran programming. In the result, the local Sherwood number reaches with the proliferation of Lewis number but diminishes qualitatively with the accumulation of thermophoresis parameter, Brownian movement parameter, and Soret numeral as well as momentum boundary layer thickness enlargements due to the squeezes of Permeability of passable medium from Kp=0.50 to Kp=1.50 but thermal boundary layer thickness proliferation by the augmenting from Nb=0.50 to Nb=1.50. The consequences are plotted after the stability and convergence test where U=T=C=0, Dt=0.0005, DX=0.83 and DY=0.50 are used and then the convergence criteria Sc³ 0.23 and Le³0.50 are exhibited with graphs.

Keywords: Prandtl nanofluid, chemical reaction, MHD


How to Cite

Hakim, A. T. S. M. M., Rahaman, M. T., & Biswas, R. (2023). Modeling and Interpretation of Prandtl Nanofluid Flow over an Infinite Perpendicular Absorbent Surface with Chemical Reaction, Variable Viscosity, and Hall Effect. Asian Journal of Pure and Applied Mathematics, 5(1), 24–35. Retrieved from https://globalpresshub.com/index.php/AJPAM/article/view/1728

Downloads

Download data is not yet available.

References

Akbar NS. Blood flow analysis of Prandtl fluid model in tapered stenosed arteries", Ain Shams Engineering Journal. 2014;5:1267-1275.

Nadeem S, Ijaz S, Akbar NS. Nanoparticle examination for blood flow of the Prandtl fluid model with stenosis. International Nano Letters. 2013;35:1-12

Bilal S, Rehman KU, Malik MY, Hussain A, Awais M. Effect logs of double diffusion on MHD Prandtl nano fluid adjacent to 4 stretching surface by way of numerical approach. Results in Physics. 2015;3(5):126-135.

Nadeem S, Sadaf HN, Akbar NS. Analysis of peristaltic flow for a Prandtl fluid model in an endoscope. Journal of Power Technologies. 2014;94(2):1-11.

Ganga B, Ansari SMY, Ganeshc NV, Hakeem AKA. MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption. Propulsin and Power Research. 2016;5(3):211-222.

Choi S. Enhancing thermal conductivity of fluids with nanoparticles. ASEM-Publ. Fed. 1995;231:99-106.

Saini DK, Agarwal GD. Thermo-physical properties of nano fluids", International Journal of Advances in Engineering Science and Technology. 2015;5:39-45.

Srikantha GVPN, Srinivasa DG, Babub BS. Characterization of chemical reaction on heat transfer through the nano fluid", Procedia Materials Science. 2015;10: 10-18.

Kataria HR, Patel HR. Soret and heat generation effects on MHD Casson fluid flow past an oscillating vertical plate embedded through porous medium. Alexandria Engineering Journal. 2016;55:2125-2137.

Hayat T, Aslam N, Alsaedi A, Rafiq M. Numerical analysis for endoscope and Soret and Dufour effects on peristalsis of Prandtl fluid. Results in Physics. 2017;7:2855-2864.

Mishra SR, Baag S, Mohapatra DK. Chemical reaction and Soret effects on hydromagnetic micropolar fluid along a stretching sheet. Engineering Science and Technology, an International Journal. 2016;19:1919-1928.

Oyelakin IS, Mondal S, Sibanda P. Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions. Journal of the Nigerian Mathematical Society. 2016;34:11-31.

Biswas R, Mondal M, Sarkar DR, Ahmmed SF. Effects of radiation and chemical reaction on MHD unsteady heat and mass transfer of Casson fluid flow past a vertical plate. Journal of Advances in Mathematics and Computer Science. 2017;23(2): 1-16.

Ahmed N, Khan U, Khan SI, Bano S, Mohyud-Din ST. Effects on magnetic field in squeezing flow of a Casson fluid between parallel plates. Journal of King Saud University Science. 2017;29: 119-125.

Tripathy RS, Dash GC, Mishra SR, Baag S. Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium. Alexandria Engineering Journal. 2015;54:673-679.

Kumar B, Seth GS, Singh MK, Chamka AJ. Carbon nanotubes (CNTs)-based flow between two spinning discs with porous medium, Cattaneo–Christov (non-Fourier) model and convective thermal condition. Journal of Thermal Analysis and Calorimetry. 2020;146(4).

Sinha VK, Kumar B, Seth GS, Nandkeolyar R. Features of Jeffrey fluid flow with Hall current: A spectral simulation. Springer. 2020;94(64).