Mixed convection of micropolar fluid on a permeable stretching surface of another quiescent fluid
In recent decades, micropolar fluid has been one of the major interesting research subjects due to the numerous applications such as blood, paint, body fluid, polymers, colloidal fluid and suspension fluid. However, the behavior of micropolar fluid flow over a permeable stretching surface of another quiescent fluid with a heavier density of micropolar fluid under the condition of mixed convection is still unknown. Thus, the current work aims to investigate numerically the mixed convection of micropolar fluid flow over a permeable stretching surface of another quiescent fluid. In this research, the similarity transformation is implemented to reduce the boundary layer governing equations from partial differential equations to a system of nonlinear ordinary differential equations. Then, this model is solved numerically using shooting technique with Runge-Kutta-Gill method and applied in Jupyter Notebook using Python 3 language. The behavior of micropolar fluid in terms of velocity, skin friction, microrotation and temperature are analyzed.
Ahmadi, G. (1976). Self-similar solution of incompressible micropolar boundary layer flow over a semi-infinite plate. International Journal of Engineering Science, 14(7), 639–646.
Attia, H. A. (2008). Stagnation point flow and heat transfer of a micropolar fluid with uniform suction or blowing. Journal of the Brazilian Society of Mechanical Sciences and Engineering, 30(1), 57–65.
Aurangzaib, Sharif Uddin, M., Bhattacharyya, K., & Shafie, S. (2016). Micropolar fluid flow and heat transfer over an exponentially permeable shrinking sheet. Propulsion and Power Research, 5(4), 310–317.
Eringen, A. C. (1965). Theory of micropolar fluid. In School of Aeronautics, Astronautice & Engineering Sciences.
Haghighi, A. R., & Asl, M. S. (2015). Mathematical modeling of micropolar fluid flow through an overlapping arterial stenosis. International Journal of Biomathematics, 08(04), 1550056.
Ishak, A., Nazar, R., & Pop, I. (2008). Mixed convection stagnation point flow of a micropolar fluid towards a stretching sheet. Meccanica, 43(4), 411–418.
Ishak, Anuar, Nazar, R., Arifin, N. M., & Pop, I. (2007). Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet. Malaysian Journal of Mathematical Sciences, 1(2), 217–226.
Jena, S. K., & Mathur, M. N. (1981). Similarity solutions for laminar free convection flow of a thermomicropolar fluid past a non-isothermal vertical flat plate. International Journal of Engineering Science, 19(11), 1431–1439.
Kiran, R. G., Radhakrishnamacharya, G., & Anwar Bég, O. (2017). Peristalsis flow and hydrodynamic dispersion of a reactive micropolar fluid-simulation of chemical effects in the digestive process. Journal of Mechanics in Medicine and Biology, 17(1), 1–17.
Liu, T. (1992). Nonorthogonal stagnation flow on the surface of a quiescent fluid an exact solution of the Navier-Stokes equation. Quarterly of Applied Mathematics, 50(1), 39–47.
Majid, N. A., Mohammad, N. F., Rahman, A., Kasim, M., Ilias, M. R., & Shafie, S. (2019). Effect of constant heat flux on forced convective micropolar fluid flow over a surface of another quiescent fluid. Universal Journal of Mechanical Engineering, 7(4), 198–205.
Mohamad Isa, S., & Mohammad, N. F. (2017). Boundary layer flow of dusty on a stretching sheet of another quiescent fluid. Journal of Physics: Conference Series, 819(1).
Nath, G. (1975). Similar solutions for the incompressible laminar boundary layer with pressure gradient in micropolar fluids. Rheologica Acta, 14(9), 850–857.
Peddieson, J. (1972). An Application of the micropolar fluid model to the calculation of a turbulent shear flow. International Journal Engineering Science, Volume 10(Issue 1), 23–32.
Reza, M., & Gupta, A. S. (2012). MHD stagnation-point flow of an electrically conducting fluid on the surface of another quiescent fluid. Acta Mechanica, 223(11), 2303–2310.
Reza, M., Panigrahi, S., & Mishra, A. K. (2017). Stagnation point flow and heat transfer for a viscoelastic fluid impinging on a quiescent fluid. Sadhana - Academy Proceedings in Engineering Sciences, 42(11), 1979–1986.
Rohni, A. M., Omar, Z., & Man, N. H. (2015). Dual solutions of stagnation-point flow of a fluid on a shrinking surface of another quiescent fluid. 4th Int’l Conference on Advances in Engineering Sciences & Applied Mathematics (ICAESAM’2015), 2(7), 74–76.
Rosali, H., Ishak, A., & Pop, I. (2012). Micropolar fluid flow towards a stretching/shrinking sheet in a porous medium with suction. International Communications in Heat and Mass Transfer, 39(6), 826–829.
Salleh, M. Z., Nazar, R., & Pop, I. (2009). Forced convection boundary layer flow at a forward stagnation point with Newtonian heating. Chemical Engineering Communications, 196(9), 987–996.
Takhar, H. S., Agarwal, R. S., Bhargava, R., & Jain, S. (1998). Mixed convection flow of a micropolar fluid over a stretching sheet. Heat and Mass Transfer, 34(2–3), 213–219.
Wang, C. Y. (1988). Stagnation Flow on the Surface of a Quiescent Fluid - an Exact Solution of the Navier-Stokes Equation. Acta Technica, 33(2), 715–730.
Yacob, N. A., & Ishak, A. (2012). Micropolar fluid flow over a shrinking sheet. Meccanica, 47(2), 293–299.