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Numerical Treatment of Casson Micropolar Fluid Past a Stretching Sheet with the Impact of Slip Velocity and Viscous Dissipation

K. Kranthi Kumar *, Ch. Baby Rani **, A. V. Papa Rao ***

* Department of Mathematics, Jawaharlal Nehru Technological University, Kakinada, Andhra Pradesh, India.

** Department of Mathematics, V. R. Sidhartha Engineering College, Vijayawada, Andhra Pradesh, India.

*** Department of Mathematics, Jawaharlal Nehru Technological University College of Engineering, Vizianagaram, Andhra Pradesh, India.

Periodicity:January - June'2021
DOI : https://doi.org/10.26634/jmat.10.1.18003

Abstract

The flow of convective Casson micropolar fluid is studied numerically using stretching sheet. The domain is influenced by second order velocity slip and viscous dissipation. The conservative governing X-momentum, micro-rotational momentum and energy equations are abbreviated to ordinary differential equations using similarity transformation technique. The transformed equations are reformed into first order ordinary differential equations and the resultant system of differential equations is solved with help of 4^th order Runge-Kutta scheme along with shooting method.

Keywords

Convective Conditions, Micropolar Fluid, Slip Conditions, Magnetohydrodynamic (MHD), Casson Fluid.

How to Cite this Article?

Kumar, K. K., Rani, C. B., and Rao, A. V. P. (2021). Numerical Treatment of Casson Micropolar Fluid Past a Stretching Sheet with the Impact of Slip Velocity and Viscous Dissipation. i-manager's Journal on Mathematics, 10(1), 10-21. https://doi.org/10.26634/jmat.10.1.18003

References

[1]. Abdelmalek, Z., Mahanthesh, B., Basir, M. F. M., Imtiaz, M., Mackolil, J., Khan, N. S., … & Tlili, I. (2020). Mixed radiated magneto Casson fluid flow with Arrhenius activation energy and Newtonian heating effects: Flow and sensitivity analysis. Alexandria Engineering Journal, 59(5), 3991-4011.

[2]. Akinbobola, T. E., & Okoya, S. S. (2015). The flow of second grade fluid over a stretching sheet with variable thermal conductivity and viscosity in the presence of heat source/sink. Journal of the Nigerian Mathematical Society, 34(3), 331-342.

[3]. Ali, A., Umar, M., Bukhari, Z., & Abbas, Z. (2020). Pulsating flow of a micropolar-Casson fluid through a constricted channel influenced by a magnetic field and Darcian porous medium: A numerical study. Results in Physics, 19, 1-15.

[4]. Aly, A. M., & Raizah, Z. A. (2016). Double-diffusive natural convection in an enclosure filled with nanofluid using ISPH method. Alexandria Engineering Journal, 55(4), 3037-3052.

[5]. Amjad, M., Zehra, I., Nadeem, S., Abbas, N., Saleem, A., & Issakhov, A. (2020). Influence of Lorentz force and induced magnetic field effects on Casson micropolar nanofluid flow over a permeable curved stretching/shrinking surface under the stagnation region. Surfaces and Interfaces, 21, 100766.

[6]. Aydin, O., & Pop, I. (2005). Natural convection from a discrete heater in enclosures filled with a micropolar fluid. International Journal of Engineering Science, 43(19-20), 1409-1418.

[7]. Aydın, O., & Pop, I. (2007). Natural convection in a differentially heated enclosure filled with a micropolar fluid. International Journal of Thermal Sciences, 46(10), 963-969.

[8]. Bég, O. A., Venkatadri, K., Prasad, V. R., Beg, T. A., Kadir, A., & Leonard, H. J. (2020). Numerical simulation of hydromagnetic Marangoni convection flow in a Darcian porous semiconductor melt enclosure with buoyancy and heat generation effects. Materials Science and Engineering: B, 261, 114722.

[9]. Bhargava, R., Sharma, S., Bhargava, P., Bég, O. A., & Kadir, A. (2017). Finite element simulation of nonlinear convective heat and mass transfer in a micropolar fluid-filled enclosure with Rayleigh number effects. International Journal of Applied and Computational Mathematics, 3(2), 1347-1379.

[10]. Chamkha, A. J., Mansour, M. A., & Ahmed., S. E. (2010). Unsteady mixed convection of a micropolar fluid in a lid driven cavity: Effect of different Micro-Gyration boundary conditions. International Journal of Energy & Technology, 2(6), 1-11.

[11]. Devi, T. S., Lakshmi, C. V., Venkatadri, K., Prasad, V. R., Bég, O. A., & Reddy, M. S. (2020). Simulation of unsteady natural convection flow of a Casson viscoplastic fluid in a square enclosure utilizing a MAC algorithm. Heat Transfer, 49(4), 1769-1787.

[12]. Gibanov, N. S., Sheremet, M. A., & Pop, I. (2016a). Free convection in a trapezoidal cavity filled with a micropolar fluid. International Journal of Heat and Mass Transfer, 99, 831-838.

[13]. Gibanov, N. S., Sheremet, M. A., & Pop, I. (2016b). Natural convection of micropolar fluid in a wavy differentially heated cavity. Journal of Molecular Liquids, 221, 518-525.

[14]. Imtiaz, H., & Mahfouz, F. M. (2014). Conjugate heat transfer within a concentric annulus filled with micropolar fluid. Heat and Mass Transfer, 50(4), 457-468.

[15]. Iqbal, Z., Mehmood, R., Azhar, E., & Mehmood, Z. (2017). Impact of inclined magnetic field on micropolar Casson fluid using Keller box algorithm. The European Physical Journal Plus, 132(4), 1-13.

[16]. Javed, T., & Siddiqui, M. A. (2018). Energy transfer through mixed convection within square enclosure containing micropolar fluid with non-uniformly heated bottom wall under the MHD impact. Journal of Molecular Liquids, 249, 831-842.

[17]. Kefayati, G. R., Hosseinizadeh, S. F., Gorji, M., & Sajjadi, H. (2011). Lattice Boltzmann simulation of natural convection in tall enclosures using water/SiO2 nanofluid. International Communications in Heat and Mass Transfer, 38(6), 798-805.

[18]. Kuharat, S., Bég, O. A., Kadir, A., Vasu, B., Bég, T. A., & Jouri, W. S. (2020). Computation of gold-water nanofluid natural convection in a three-dimensional tilted prismatic solar enclosure with aspect ratio and volume fraction effects. Nanoscience and Technology: An International Journal, 11(2), 141-167.

[19]. Kumar, B. R., Nigam, M., Kumari, P., & Sharma, P. (2015). Parallel numerical computation of mixed convection in a square enclosure with multiple heat sources on Anucluster. International Journal of Advances in Engineering Sciences and Applied Mathematics, 7(3), 96-105.

[20]. Miroshnichenko, I. V., Sheremet, M. A., & Pop, I. (2017). Natural convection in a trapezoidal cavity filled with a micropolar fluid under the effect of a local heat source. International Journal of Mechanical Sciences, 120, 182-189.

[21]. Nazeer, M., Ali, N., & Javed, T. (2018). Numerical simulation of MHD flow of micropolar fluid inside a porous inclined cavity with uniform and non-uniform heated bottom wall. Canadian Journal of Physics, 96(6), 576-593.

[22]. Rasool, G., Chamkha, A. J., Muhammad, T., Shafiq, A., & Khan, I. (2020). Darcy-Forchheimer relation in Casson type MHD nanofluid flow over non-linear stretching surface. Propulsion and Power Research, 9(2), 159-168.