## THERMAL SCIENCE

International Scientific Journal

### ANALYSIS OF THE IMPACT OF THERMAL RADIATION AND VELOCITY SLIP ON THE MELTING OF MAGNETIC HYDRODYNAMIC MICROPOLAR FLUID-FLOW OVER AN EXPONENTIALLY STRETCHING SHEET

**ABSTRACT**

The belongings of radiation and velocity slip on MHD stream and melting warmth transmission of a micropolar liquid over an exponentially stretched sheet which is fixed in a porous medium with heat source/sink are accessible. Homothety transforms the major PDE into a set of non-linear ODE. Then, by varying the boundary value problem to the initial value problem first, we get a numerical solution the non-linear system of equations. It has been observed that related parameters have a significant effect on flow and heat transfer characteristics, which are demonstrated and explained in aspect done their figures. Velocity and temperature decrease by an extension in the magnetic aspect, and the angular velocity increase but the reverse effects come in melting, microrotation, and mixed convection parameters. The surface resistance coefficient as well as couple stress both decreases with amplification in the Eckert number microrotation, material, radiation, and heat source/sink parameter but the heat transport coefficient increase.

**KEYWORDS**

PAPER SUBMITTED: 2022-02-01

PAPER REVISED: 2022-03-04

PAPER ACCEPTED: 2022-03-14

PUBLISHED ONLINE: 2023-04-08

- Magyari, E., Keller, B., Heat and Mass Transfer in the Boundary-Layers on an Exponentially Stretching Continuous Surface, Journal of Physics D: Applied Physics, 32 (1999), 5, 577
- Elbashbeshy, E., Heat Transfer over an Exponentially Stretching Continuous Surface with Suction, Archives of Mechanics, 53 (2001), 6, pp. 643-651
- Bidin, B., Nazar, R., Numerical Solution of the Boundary-Layer Flow over an Exponentially Stretching Sheet with Thermal Radiation, European Journal of Scientific Research, 33 (2009), 4, pp. 710-717
- Ishak, A., et al., MHD Boundary-Layer Flow Due to an Exponentially Stretching Sheet with Radiation Effect, SainsMalaysiana, 40 (2011), 4, pp. 391-395
- Yacob, N. A., et al., Melting Heat Transfer in Boundary-Layer Stagnation-Point Flow Towards a Stretching/Shrinking Sheet in a Micropolar Fluid, Computers and Fluids, 47 (2011), 1, pp. 16-21
- Bhattacharyya, K., et al., Effects of Thermal Radiation on Micropolar Fluid-Flow and Heat Transfer over a Porous Shrinking Sheet, International Journal of Heat and Mass Transfer, 55 (2012), 55, pp. 2945-2952
- Mukhopadhyay, S., Slip Effects on MHD Boundary-Layer Flow over an Exponentially Stretching Sheet with Suction/Blowing and Thermal Radiation, Ain Shams Engineering Journal, 4 (2013), 3, pp. 485-491
- Hayat, T., et al., Melting Heat Transfer in the Stagnation-Point Flow of Maxwell Fluid with Double-Diffusive Convection, Int. J. of Num. Met. for Heat and Fluid-Flow, 24 (2014), 3, pp. 760-774
- Turkyilmazoglu, M., A Note on Micropolar Fluid-Flow and Heat Transfer over a Porous Shrinking Sheet, International Journal of Heat and Mass Transfer, 72 (2014), May, pp. 388-391
- Hafidzuddin, E. H., et al., Numerical Solutions of Boundary-Layer Flow over an Exponentially Stretching/Shrinking Sheet with Generalized Slip Velocity, International Journal of Mathematical and Computational Sciences, 9 (2015), 4, pp. 244-249
- Adegbie, S. K., et al., Melting Heat Transfer Effects on Stagnation Point Flow of Micropolar Fluid with Variable Dynamic Viscosity and Thermal Conductivity at Constant Vortex Viscosity, Journal of the Nigerian Mathematical Society, 35 (2016), 1, pp. 34-47
- Das, K., Duari, P. R., Micropolar Nanofluid-Flow over a Stretching Sheet with Chemical Reaction, International Journal of Applied and Computational Mathematics, 3 (2017), 4, pp. 3229-3239
- Ibrahim, W., Mhd Boundary-Layer Flow and Heat Transfer of Micropolar Fluid Past a Stretching Sheet with Second Order Slip, J. of the Brazilian Soc. of Mech. Scie. and Eng., 3 (2017), 39, pp. 791-799
- Soid, S. K., et al., The MHD Stagnation-Point Flow over a Stretching/Shrinking Sheet in a Micropolar Fluid with a Slip Boundary, SainsMalaysiana, 47 (2018), 11, pp. 2907-2916
- Ghosh, S., et al., Existence of Dual Solutions and Melting Phenomenon in Unsteady Nanofluid-Flow and Heat Transfer over a Stretching Surface, Journal of Mechanics, 3 (2019), 5, pp. 705-717
- Mandal, I. C., Mukhopadhyay, S., Non-Linear Convection in Micropolar Fluid-Flow Past an Exponentially Stretching Sheet in an Exponentially Moving Stream with Thermal Radiation, Mechanics of Advanced Materials and Structures, 26 (2019), 24, pp. 2040-2046
- Singh, J., et al., A Hybrid Computational Approach for Jeffery-Hamel Flow in Non-Parallel Walls, Neural Computing and Applications, 31 (2019), 7, pp. 2407-2413
- Ali, L., et al., Analysis of Magnetic Properties of Nanoparticles Due to a Magnetic Dipole in a Micropolar Fluid-Flow over a Stretching Sheet, Coatings, 10 (2020), 20, 170
- Fatunmbi, E. O., et al., Magnetohydrodynamic Micropolar Fluid-Flow in a Porous Medium with Multiple Slip Conditions, International Communications in Heat and Mass Transfer, 115 (2020), 104577
- Kumar, K. A., et al., Influence of Viscous Dissipation on MHD Flow of Micropolar Fluid over a Slendering Stretching Surface with Modified Heat Flux Model, Journal of Thermal Analysis and Calorimetry, 139 (2020), 6, pp. 3661-3674
- Kumar, K. A., et al., Physical Aspects on MHD Micropolar Fluid-Flow Past an Exponentially Stretching Curved Surface, Defect and Diffusion Forum, 401 (2020), May, pp. 79-91
- Nadeem, S., et al., Transportation of Slip Effects on Nanomaterial Micropolar Fluid-Flow over Exponentially Stretching, Alexandria Engineering Journal, 59 (2020), 5, pp. 3443-3450
- Ramadevi, B., et al., Magnetohydrodynamic Mixed Convective Flow of Micropolar Fluid Past a Stretching Surface Using Modified Fourier's Heat Flux Model, Journal of Thermal Analysis and Calorimetry, 139 (2020), 2, pp. 1379-1393
- Yasmin, A., et al., Study of Heat and Mass Transfer in MHD Flow of Micropolar Fluid over a Curved Stretching Sheet, Scientific Reports, 10 (2020), 1, pp. 1-11
- Tassaddiq, A., et al., The MHD Flow of a Generalized Casson Fluid with Newtonian Heating: A Fractional Model with Mittag-Leffler Memory, Alexandria Engineering Journal, 59 (2020), 5, pp. 3049-3059
- Ali, B., et al., Significance of Suction/Injection, Gravity Modulation, Thermal Radiation, and Magnetohydrodynamic on Dynamics of the Micropolar Fluid Subject to an Inclined Sheet Via Finite Element Approach, Case Studies in Thermal Engineering, 28 (2021), 101537
- Khader, M., Sharma, R. P., Evaluating the Unsteady MHD Micropolar Fluid-Flow Past Stretching/Shirking Sheet with Heat Source and Thermal Radiation: Implementing Fourth Order Predictor-Corrector FDM, Mathematics and Computers in Simulation, 181 (2021), Mar., pp. 333-350
- Sajid, T., et al., Micropolar Fluid Past a Convectively Heated Surface Embedded with nth Order Chemical Reaction and Heat Source/Sink, Physica Scripta, 96 (2021), 10, 104010
- Mandal, I. C., et al., Melting Heat Transfer of MHD Micropolar Fluid-Flow Past an Exponentially Stretching Sheet with Slip and Thermal Radiation, Int. J. of Applied and Com. Mat., 7 (2021), 2, pp. 1-18
- Singh, J., et al., A Hybrid Analytical Algorithm for Thin Film Flow Problem Occurring in Non-Newtonian Fluid Mechanics, Ain Shams Engineering Journal, 12 (2021), 2, pp. 2297-2302