Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate
American Journal of Mathematical and Computer Modelling
Volume 5, Issue 4, December 2020, Pages: 97-101
Received: Sep. 14, 2020;
Accepted: Oct. 13, 2020;
Published: Oct. 23, 2020
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Zahida Khan, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Abdul Rehman, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Naveed Sheikh, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Saleem Iqbal, Department of Mathematics, University of Balochistan, Quetta, Pakistan
Ejaz Sha, Department of Mathematics, University of Balochistan, Quetta, Pakistan
In the present article, an attempted have been made to study the behavior of boundary layer viscous fluid flow and heat transfer containing some nanosized solid particles flowing through a permeable porous medium. The problem was first modeled into a coupled system of nonlinear partial differential equations of conservation of mass, momentum and nanoparticle concentration. The system of coupled nonlinear boundary layer partial differential equations governing the flowing fluid momentum and heat transfer characteristics are reduced to a new simplified coupled nonlinear system of ordinary differential equations by means of a suitable similarity transformation. The transformed set of nonlinear coupled ordinary differential equations is than solved numerically by means of the fourth order numerical scheme the Runge-Kutta shooting method. The effects of important involved parameters that control the flow field and heat transfer characteristics, that is the viscosity parameter, the convection parameter, the Porosity parameter, the Prandtl number and the Lewis number have been obtained and discussed. Numerical solutions for velocity and temperature are sketched and graphically analyzed. The graphical results observed are indicating that by increasing the values of the non-dimensional viscosity parameter, the dimension less fluid flow profile increases, while for increasing values of the nanoparticles Brownian motion parameter, the nanoparticle concentration profile increases.
Boundary Layer Flow of a Nanofluid Through a Permeable Medium Due to Porous Plate, American Journal of Mathematical and Computer Modelling.
Vol. 5, No. 4,
2020, pp. 97-101.
S. U. S. Choi, “Enhancing thermal conductivity of fluids with nanoparticle,” in Developments and Applications of Non-Newtonian Flows, D. A. Siginer and H. P. Wang, Eds., vol. 231, pp. 99–105, ASME, New York, NY, USA, 1995.
H. Masuda, A. Ebata, K. Teramea, and N. Hishinuma, “Altering the thermal conductivity and viscosity of liquid by dispersing ultra-fine particles,” Netsu Bussei, Vol. 4, No. 4, pp. 227–233, 1993.
P. Vadasz, Emerging Topics in Heat and Mass Transfer in Porous Media, Springer, New York, 2008.
D. B. Ingham, I. Pop (Eds.), Transport Phenomena in Porous Media, Vol. III, Elsevier, Oxford, 2005.
Cheng C-Y, Natural convection heat transfer of non-Newtonian fluids in porous media from a vertical cone under mixed thermal boundary conditions. Int. Comm. Heat Mass Transfer 36: 693–697, 2009.
Ahmad S, Pop I, Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids. Int. Comm. Heat Mass Transfer 37: 987–991, 2010.
Cheng C-Y, Soret and Dufour effects on heat and mass transfer by natural convection from a vertical truncated cone in a fluid-saturated porous medium with variable wall temperature and concentration. Int. Comm. Heat Mass Transfer 37: 1031–1035, 2010.
Sheikholeslami, M., R. Ellahi, H. R. Ashorynejad, G. Domairry, and T. Hayat. "Effects of heat transfer in flow of nanofluids over a permeable stretching wall in a porous medium." Journal of Computational and Theoretical Nanoscience 11, no. 2 (2014): 486-496.
Abbasi, F. M., T. Hayat, and B. Ahmad. "Peristaltic transport of copper–water nanofluid saturating porous medium." Physica E: Low-dimensional Systems and Nanostructures 67 (2015): 47-53.
Sheikholeslami, M., S. A. Shehzad, Zhixiong Li, and Ahmad Shafee. "Numerical modeling for alumina nanofluid magnetohydrodynamic convective heat transfer in a permeable medium using Darcy law." International Journal of Heat and Mass Transfer 127 (2018): 614-622.
Hassan, M., M. Marin, Abdullah Alsharif, and R. Ellahi. "Convective heat transfer flow of nanofluid in a porous medium over wavy surface." Physics Letters A 382, no. 38 (2018): 2749-2753.
Reddy, JV Ramana, V. Sugunamma, N. Sandeep, and C. Sulochana. "Influence of chemical reaction, radiation and rotation on MHD nanofluid flow past a permeable flat plate in porous medium." Journal of the Nigerian Mathematical Society 35, no. 1 (2016): 48-65.
S. Nadeem, Abdul Rehman, K. Vajravelu, Jinho Lee, Changhoon Lee, Axisymmetric stagnation flow of a micropolar nanofluid in a moving cylinder, Mathematical Problems in Engineering, Volume 2012, Article ID 378259.
Abdul Rehman, S. Nadeem, Mixed convection heat transfer in micropolar nanofluid over a vertical slender cylinder, Chin. Phy. Lett. 29 (12) (2012) 124701-5.
S. Nadeem, Abdul Rehman, Changhoon Lee, Jinho Lee, Boundary layer flow of second grade fluid in a cylinder with heat transfer, Mathematical Problems in Engineering, Volume 2012, Article ID 640289.
S. Nadeem, Abdul Rehman, Mohamed Ali, The boundary layer flow and heat transfer of a nanofluid over a vertical slender cylinder, J. NanoEngineering and NanoSystems (2012) 1-9.
S. Nadeem, Abdul Rehman, Axisymmetric stagnation flow of a nanofluid in a moving cylinder, Comp. Math. Mod. 24 (2) (2013) 293-306.
Abdul Rehman, S. Nadeem, M. Y. Malik, Stagnation flow of couple stress nanofluid over an exponentially stretching sheet through a porous medium, J. Power Tech. 93 (2) (2013) 122-132.
Abdul Rehman, S. Nadeem, M. Y. Malik, Boundary layer stagnation-point flow of a third grade fluid over an exponentially stretching sheet, Braz. J. Che. Eng. 30 (3) (2013) 611-618.
Abdul Rehman, S. Nadeem, Heat transfer analysis of the boundary layer flow over a vertical exponentially stretching cylinder, Global J. Sci. Fron. Res. 13 (11) (2013) 73-85.
M. Y. Malik, M. Naseer, S. Nadeem, Abdul Rehman, The boundary layer flow of Casson nanofluid over a vertical exponentially stretching cylinder, Appl. NanoSci. DOI: 10.1007/s13204-012-0267-0.
Abdul Rehman, S. Nadeem, S. Iqbal, M. Y. Malik, M. Naseer, Nanoparticle effect over the boundary layer flow over an exponentially stretching cylinder, J. NanoEngineering and NanoSystems (2014) 1-6.
M. Y. Malik, M. Naseer, S. Nadeem, Abdul Rehman, The boundary layer flow of hyperbolic tangent fluid over a vertical exponentially stretching cylinder, Alexandria Eng. J., 53 (2014) 747-750.
M. Y. Malik, M. Naseer, Abdul Rehman, Numerical study of convective heat transfer on the Power Law fluid over a vertical exponentially stretching cylinder, App Comp Math, 4 (5), (2015) 346-350.
Abdul Rehman, R. Bazai, S. Achakzai, S. Iqbal, M. Naseer, Boundary Layer Flow and Heat Transfer of Micropolar Fluid over a Vertical Exponentially Stretched Cylinder, App Comp Math, 4 (6) (2015) 424-430.
Abdul Rehman, G. Farooq, I. Ahmed, M. Naseer, M. Zulfiqar, Boundary Layer Stagnation-Point Flow of Second Grade Fluid over an Exponentially Stretching Sheet, American J App Math Stat, 3 (6) (2015) 211-219.
Abdul Rehmana, S. Achakzai, S. Nadeem, S. Iqbal, Stagnation point flow of Eyring Powell fluid in a vertical cylinder with heat transfer, Journal of Power Technologies 96 (1) (2016) 57–62.
Abdul Rehman, Saleem Iqbal, Syed Mohsin Raza, Axisymmetric Stagnation Flow of a Micropolar Fluid in a Moving Cylinder: An Analytical Solution, Fluid Mechanics, 2 (1) (2016) 1-7.
Naheeda Iftikhar, Abdul Rehman, Peristaltic flow of an Eyring Prandtl fluid in a diverging tube with heat and mass transfer, International Journal of Heat and Mass Transfer 111 (2017) 667–676.
Abdul Rehman, Naveed Sheikh, Boundary Layer Stagnation-Point Flow of Micropolar Fluid over an Exponentially Stretching Sheet, International Journal of Fluid Mechanics & Thermal Sciences, 2017; 3 (3): 25-31.
Haroon Rasheed, Abdul Rehman, Naveed Sheikh, Saleem Iqbal, MHD Boundary Layer Flow of Nanofluid over a Continuously Moving Stretching Surface, Applied and Computational Mathematics, 2017; 6 (6): 265-270.