Convective Flow of Radiative Maxwell Nanofluid with Variable Thermo-Physical Properties
DOI:
https://doi.org/10.48048/tis.2022.6306Keywords:
Thermal radiation, Variable thermal conductivity, Maxwell fluid, Nanoparticles, Variable viscosityAbstract
In this article, analysis has been executed to find the impact of radiation, varied thermal conductivity and varied viscosity on the steady 2 dimensional flows of nanoparticles existing Maxwell fluid past a flat surface that can be stretched. The partial differential equations which govern this flow are modified by using similarity transformations in order to form ordinary differential equations. Employing bvp4c of MATLAB software the transformed equations are solved and the results for velocity, temperature and species concentration are depicted through graphs for varying parametric values. Comparisons with previous published data of analytical methods are carried out, thereby validating the present numerical results. It has been observed that thermal conductivity as well as viscosity enhances the temperature of the fluid and nanoparticles species concentration. Also the nanoparticles existence in the fluid slows down the fluid motion. In various engineering processes and nanoscience technology, the inferences of this present study can find its applications.
HIGHLIGHTS
- Investigation has been carried out on a 2 dimensional steady flow of upper-convected Maxwell fluid under the existence of the radiation and nanoparticles
- The thermo-physical properties of the fluid flow such as thermal conductivity and viscosity are taken as variable quantity
- Bvp4c solver of the software MATLAB has been used to solve the governing transformed ODEs
- With the rise in thermal conductivity and fluid viscosity, the temperature of the fluid boost up
- The existence of nanoparticles in the fluid results in deceleration of the fluid motion
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A Alizadeh-Pahlavan, V Aliakbar, F Vakili-Farahani and K Sadeghy. MHD flows of UCM fluids above porous stretching sheets using two-auxiliary-parameter homotopy analysis method. Comm. Nonlinear Sci. Numer. Simulat. 2009; 14, 473-88.
V Aliakbar, A Alizadeh-Pahlavan and K Sadeghy. The influence of thermal radiation on MHD flow of Maxwellian fluids above stretching sheets. Comm. Nonlinear Sci. Numer. Simulat. 2009; 14, 779-94.
M Athar, C Fetecau, M Kamran, A Sohail and M Imran. Exact solutions for unsteady axial Couette flow of a fractional Maxwell fluid due to an accelerated shear. Nonlinear Anal. Model. Contr. 2011; 16, 135-51.
MM Heyhat and N Khabazi. Non-isothermal flow of Maxwell fluids above fixed flat plates under the influence of a transverse magnetic field. J. Mech. Eng. Sci. 2011; 225, 909-16.
S Karra, V Průša and KR Rajagopal. On Maxwell fluids with relaxation time and viscosity depending on the pressure. Int. J. Non. Lin. Mech. 2011; 46, 819-27.
Y Bai, Y Jiang, F Liu and Y Zhang. Numerical analysis of fractional MHD Maxwell fluid with the effects of convection heat transfer condition and viscous dissipation. AIP Adv. 2017; 7, 125309.
M Mohamadali and N Ashrafi. Similarity solution for high weissenberg number flow of upper-convected maxwell fluid on a linearly stretching sheet. J. Eng. 2016; 2016, 9718786.
BJ Gireesha, B Mahanthesh, RSR Gorla and KL Krupalakshmi. Mixed convection two-phase flow of Maxwell fluid under the influence of non-linear thermal radiation, non-uniform heat source/sink and fluid-particle suspension. Ain Shams Eng. J. 2018; 9, 735-46.
T Fang and Y Zhong. Viscous flow over a shrinking sheet with an arbitrary surface velocity. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 3768-76.
TG Fang, J Zhang and SS Yao. Slip magnetohydrodynamic viscous flow over a permeable shrinking sheet. Chin. Phys. Lett. 2010; 27, 124702.
T Fang, S Yao, J Zhang and A Aziz. Viscous flow over a shrinking sheet with a second order slip flow model. Comm. Nonlinear Sci. Numer. Simulat. 2010; 15, 1831-42.
N Bachok, A Ishak and I Pop. Unsteady three-dimensional boundary layer flow due to a permeable shrinking sheet. Appl. Math. Mech. 2010; 31, 1421-8.
B Raftari and A Yildirim. A new modified homotopy perturbation method with two free auxiliary parameters for solving MHD viscous flow due to a shrinking sheet. Eng. Comput. 2011; 28, 528-39.
SS Motsa, Y Khan and S Shateyi. A new numerical solution of Maxwell fluid over a shrinking sheet in the region of a stagnation point. Math. Probl. Eng. 2012; 2012, 290615.
SUS Choi and JA Eastman. Enhancing thermal conductivity of fluids with nano-particles. In: Proceedings of the International Mechanical Engineering Congress and Exhibition, San Francisco, United States. 1995.
AV Kuznetsov and DA Nield. Natural convective boundary-layer flow of a nanofluid past a vertical plate. Int. J. Therm. Sci. 2010; 77, 126-9.
WA Khan and I Pop. Boundary-layer flow of a nanofluid past a stretching sheet. Int. J. Heat Mass Tran. 2010; 53, 2477-83.
RC Bataller. Similarity solutions for flow and heat transfer of a quiescent fluid over a nonlinearly stretching surface. J. Mater. Process. Tech. 2008; 203, 176-83.
A Ishak. Similarity solutions for flow and heat transfer over a permeable surface with convective boundary condition. Appl. Math. Comput. 2010; 217, 837-42.
S Ahmad and I Pop. Mixed convection boundary layer flow from a vertical flat plate embedded in a porous medium filled with nanofluids. Int. Comm. Heat Mass Tran. 2010; 37, 987-91.
OD Makinde and PO Olanrewaju. Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition. J. Fluids Eng. 2010; 132, 044502.
OD Makinde and A Aziz. MHD mixed convection from a vertical plate embedded in a porous medium with a convective boundary condition. Int. J. Therm. Sci. 2010; 49, 1813-20.
OD Makinde and A Aziz. Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition. Int. J. Therm. Sci. 2011; 50, 1326-32.
M Turkyilmazoglu. Natural convective flow of nanofluids past a radiative and impulsive vertical plate. J. Aero. Eng. 2016; 29, 04016049.
M Turkyilmazoglu. On the transparent effects of Buongiorno nanofluid model on heat and mass transfer. Eur. Phys. J. Plus 2021; 136, 376.
M Turkyilmazoglu. Wall stretching in magnetohydrodynamics rotating flows in inertial and rotating frames. J. Thermophys. Heat Tran. 2011; 25, 606-13.
M Turkyilmazoglu. Numerical computation of unsteady flows with an implicit spectral method over a disk in still air. Numer. Heat Tran. 2010; 57, 40-53.
AA Siddiqui and M Turkyilmazoglu. A new theoretical approach of wall transpiration in the cavity flow of the ferrofluids. Micromachines 2019; 10, 373.
M Turkyilmazoglu. Unsteady mhd flow with variable viscosity: Applications of spectral scheme. Int. J. Therm. Sci. 2010; 49, 563-70.
WM Kays and ME Crawford. Convective heat and mass transfer. 3rd ed. McGraw Hill, New York, 1993.
TC Chiam. Heat transfer with variable conductivity in a stagnation-point flow towards a stretching sheet. Int. Comm. Heat Mass Tran. 1996; 23, 239-48.
TC Chiam. Heat transfer in a fluid with variable thermal conductivity over a linearly stretching sheet. Acta Mech. 1998; 129, 63-72.
S Nasir, S Islam, T Gul, Z Shah, MA Khan, W Khan, AZ Khan and S Khan. Three-dimensional rotating flow of MHD single wall carbon nanotubes over a stretching sheet in presence of thermal radiation. Appl. Nanosci. 2018; 8, 1361-78.
A Raptis and C Perdikis. Viscoelastic flow by the presence of radiation. ZAMM J. Appl. Math. Mech. 1998; 78, 277-9.
MG Reddy. Influence of magnetohydrodynamic and thermal radiation boundary layer flow of a nanofluid past a stretching sheet. J. Sci. Res. 2014; 6, 257-72.
GK Ramesh and BJ Gireesha. Influence of heat source/sink on a Maxwell fluid over a stretching surface with convective boundary condition in the presence of nanoparticles. Ain Shams Eng. J. 2014; 5, 991-8.
W Ibrahim and M Negera. MHD slip flow of upper-convected Maxwell nanofluid over a stretching sheet with chemical reaction. J. Egypt. Math. Soc. 2020; 28, 7.
J Buongiorno. Convective transport in nanofluids. J. Heat Tran. 2006; 128, 240-50.
MQ Brewster. Thermal radiative transfer and properties. Wiley and Sons, New York, 1992.
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