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Neural Computing and Applications

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22-07-2016 | Original Article

MHD flow of radiative micropolar nanofluid in a porous channel: optimal and numerical solutions

Authors: Syed Tauseef Mohyud-Din, Saeed Ullah Jan, Umar Khan, Naveed Ahmed

Published in: Neural Computing and Applications | Issue 3/2018

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Abstract

The flow of a radiative and electrically conducting micropolar nanofluid inside a porous channel is investigated. After implementing the similarity transformations, the partial differential equations representing the radiative flow are reduced to a system of ordinary differential equations. The subsequent equations are solved by making use of a well-known analytical method called homotopy analysis method (HAM). The expressions concerning the velocity, microrotation, temperature, and nanoparticle concentration profiles are obtained. The radiation tends to drop the temperature profile for the fluid. The formulation for local Nusselt and Sherwood numbers is also presented. Tabular and graphical results highlighting the effects of different physical parameters are presented. Rate of heat transfer at the lower wall is seen to be increasing with higher values of the radiation parameter while a drop in heat transfer rate at the upper wall is observed. Same problem has been solved by implementing the numerical procedure called the Runge–Kutta method. A comparison between the HAM, numerical and already existing results has also been made.

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Hartman J (1937) Theory of the laminar flow of an electrically conductive liquid in a homogeneous magnetic field. Mathematisk-fysiske Meddelelser XV:6

Hartman J, Lazarus F, Selskab DV (1937) Experimental investigations on the flow of mercury in a homogeneous magnetic field. Mathematisk-fysiske Meddelelser XV:7

Moreau R (1990) Magneto hydrodynamics. Kluwer, Dordrecht

Makinde OD, Mhone PY (2006) Hermite–Pade approximation approach to MHD Jeffery–Hamel flows. Appl Math Comput 181:966–972MATH

Ellahi R, Riaz A (2010) Analytical solutions for MHD flow in a third-grade fluid with variable viscosity. Math Comput Model 52:1783–1793MathSciNetCrossRefMATH

Khan U, Ahmed N, Zaidi ZA, Asadullah M, Mohyud-Din ST (2014) MHD squeezing flow between two infinite plates. Ain Shams Eng J 5:187–192CrossRef

Sheikholeslami M, Ellahi R (2015) Three dimensional mesoscopic simulation of magnetic field effect on natural convection of nanofluid. Int J Heat Mass Transf 89:799–808CrossRef

Ellahi R, Hassan M, Zeeshan A (2015) Study on magnetohydrodynamic nanofluid by means of single and multi-walled carbon nanotubes suspended in a salt water solution. IEEE Trans Nanotechnol 14(4):726–734CrossRef

Eringen AC (1964) Simple micro-fluids. Int J Eng Sci 2:205–217CrossRefMATH

10.

Eringen AC (1996) Theory of micropolar fluids. J Math Mech 16(1):1–18MathSciNet

11.

Eringen AC (1972) Theory of thermomicro-fluids. J Math Anal Appl 38:480–496CrossRefMATH

12.

Ariman T, Turk M, Sylvester N (1973) Microcontinuum fluid mechanics—a review. Int J Eng Sci 11(8):905–930CrossRefMATH

13.

Ashraf M, Kamal MA, Syed KS (2009) Numerical study of asymmetric laminar flow of micropolar fluids in a porous channel. Comput Fluids 38:1895–1902CrossRefMATH

14.

Takhar HS, Bhargava R, Agrawal RS, Balaji AVS (2000) Finite element solution of micropolar fluid flow and heat transfer between two porous discs. Int J Eng Sci 38:1907–1922CrossRefMATH

15.

Kelson NA, Farrell TW (2001) Micropolar fluid flow over a porous stretching sheet with strong suction or injection. Int Commun Heat Mass Transfer 28:479–488CrossRef

16.

Srinivasacharya D, Ramana Murthy JV, Venugopalam D (2001) Unsteady stokes flow of micropolar fluid between two parallel porous plates. Int J Eng Sci 39:1557–1563CrossRefMATH

17.

Ziabakhsh Z, Domairry G (2008) Homotopy analysis solution of micro-polar flow in a porous channel with high mass transfer. Adv Theory Appl Mech 1(2):79–94MATH

18.

Joneidi AA, Ganji DD, Babaelahi M (2009) Micropolar flow in a porous channel with high mass transfer. Int Commun Heat Mass Transfer 36(10):1082–1088CrossRef

19.

Rashidi MM, Mohimanian Pour SA, Laraqi N (2010) A semi-analytical solution of micropolar flow in a porous channel with mass injection by using differential transform method. Nonlinear Anal Model 15(3):341–350MATH

20.

Si XH, Zheng LC, Zhang XX, Chao Y (2011) The flow of micropolar flow through a porous channel with expanding or contracting walls. Cent Eur J Phys 9(2):825–834

21.

Sheikholeslami M, Ashorynejad HR, Ganji DD, Rashidi MM (2014) Heat and mass transfer of a micropolar fluid in a porous channel. Commun Numer Anal 2014:1–20MathSciNetCrossRef

22.

Choi SUS (1995) Enhancing thermal conductivity of fluids with nanoparticles. In: Singer DA, Wang HP (eds) Developments and applications of non-Newtonian flows. American Society of Mechanical Engineers, New York, p 231 (99–105)

23.

Choi SUS, Zhang ZG, Yu W, Lockwood FE, Grulke EA (2001) Anomalous thermal conductivity enhancement in nanotube suspensions. Appl Phys Lett 79:2252–2254CrossRef

24.

Buongiorno J (2005) Convective transport in nanofluids. J Heat Transfer 128(3):240–250CrossRef

25.

Khan W, Pop I (2010) Boundary-layer flow of a nanofluid past a stretching sheet. Int J Heat Mass Transf 53:2477–2483CrossRefMATH

26.

Ellahi R, Raza M, Vafai K (2012) Series solutions of non-Newtonian nanofluid with Reynolds’ model and Vogel’s model by means of the homotopy analysis method. Math Comput Model 55:1876–1891MathSciNetCrossRefMATH

27.

Sheikholeslami M, Ganji DD (2013) Heat transfer of Cu-water nanofluid flow between parallel plates. Powder Technol 235:873–879CrossRef

28.

Sheikholeslami M, Ganji DD, Ashorynejad HR (2013) Investigation of squeezing unsteady nanofluid flow using ADM. Powder Technol 239:259–265CrossRef

29.

Khan U, Ahmed N, Mohyud-Din ST (2015) Heat transfer effects on carbon nanotubes suspended nanofluid flow in a channel with non-parallel walls under the effect of velocity slip boundary condition: a numerical study. Neural Comput Appl. doi:10.1007/s00521-015-2035-4

30.

Mohyud-Din ST, Khan U, Ahmed N, Hassan SM (2015) Magnetohydrodynamic flow and heat transfer of nanofluids in stretchable convergent/divergent channels. Appl Sci 5:1639–1664CrossRef

31.

Mohyud-Din ST, Zaidi ZA, Khan U, Ahmed N (2015) On heat and mass transfer analysis for the flow of a nanofluid between rotating parallel plates. Aerosp Sci Technol 46:514–522CrossRef

32.

Mohyud-Din ST, Khan U, Ahmed N, Bin-Mohsin B (2016) Heat and mass transfer analysis for MHD flow of nanofluid in convergent/divergent channels with stretchable walls using Buongiorno’s model. Neural Comput Appl (accepted)

33.

Rashidi MM, Vishnu Ganesh N, Abdul Hakeem AK, Ganga B (2014) Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation. J Mol Liq 198:234–238CrossRef

34.

Haq RU, Nadeem S, Khan ZH, Akbar NS (2015) Thermal radiation and slip effects on MHD stagnation point flow of nanofluid over a stretching sheet. Physica E 65:17–23CrossRef

35.

Khan U, Ahmed N, Mohyud-Din ST, Mohsin BB (2016) Nonlinear radiation effects on MHD flow of nanofluid over a nonlinearly stretching/shrinking wedge. Neural Comput Appl. doi:10.1007/s00521-016-2187-x

36.

Abdulaziz O, Noor NFM, Hashim I (2009) Homotopy analysis method for fully developed MHD micropolar fluid flow between vertical porous plates. Int J Numer Meth Eng 78(7):817–827MathSciNetCrossRefMATH

37.

Noor NFM, Ul Haq R, Nadeem S, Hashim I (2015) Mixed convection stagnation flow of a micropolar nanofluid along a vertically stretching surface with slip effects. Meccanica 50(8):2007–2022MathSciNetCrossRef

38.

Noor NFM, Ul Haq R, Abbasbandy S, Hashim I (2016) Heat flux performance in a porous medium embedded Maxwell fluid flow over a vertically stretched plate due to heat absorption. J Nonlinear Sci Appl 9(5):2986–3001MathSciNetCrossRefMATH

39.

Liao S (ed) (2013) Advances in the homotopy analysis method, Chapter 7. World Scientific Press, London

40.

Liao SJ (2004) On the homotopy analysis method for nonlinear problems. Appl Math Comput 147:499–513MathSciNetMATH

Title: MHD flow of radiative micropolar nanofluid in a porous channel: optimal and numerical solutions
Authors: Syed Tauseef Mohyud-Din
Saeed Ullah Jan
Umar Khan
Naveed Ahmed
Publication date: 22-07-2016
Publisher: Springer London
Published in: Neural Computing and Applications / Issue 3/2018
Print ISSN: 0941-0643
Electronic ISSN: 1433-3058
DOI: https://doi.org/10.1007/s00521-016-2493-3

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