Two-Phase Nanofluid Thermal Analysis over a Stretching Infinite Solar Plate Using Keller Box Method (KBM)

Document Type : Research Article

Authors

1 Young Researchers and Elite Club, Najafabad Branch, Islamic Azad University, Najafabad, I.R. IRAN

2 Department of Mechanical Engineering, Babol University of Technology, Babol, I.R. IRAN

3 Department of Mechanical Engineering, Esfarayen University of Technology, Esfarayen, North Khorasan, I.R. IRAN + \ International Research Center for Renewable Energy, State Key Laboratory of Multiphase Flow in Power Engineering, Xi’an Jiaotong University, Xi’an 710049, P.R. China

Abstract

In the present study, two-phase nanofluid flow in a three-dimensional system is modeled over a stretching infinite solar plate and the heat transfer analysis is performed for this problem. The governing equations are presented based on previous studies and the suitable solution method is recommended due to infinite boundary condition in the problem. Keller Box Method (KBM) using the Maple 15.0 mathematical software is applied as the solution method for the governing equation of the problem. The effect of some parameters existed in the equations (Pr (Prandtl number), Sc (Schmidt number), Nb (Brownian motion parameter), Nt (Thermophoresis parameter), λ=b/a (ratio of the stretching rate along y to x directions) and n (power-law index)), are discussed on the velocities, temperature, and nanoparticles concentration functions. As an important outcome, increasing both n and λ parameters, makes a reduction in shear stress, while it increase the Nusselt number function of heat transfer.

Keywords

Main Subjects


[1] Jing D., Hu Y., Liu M., Wei J., Guo L., Preparation of Highly Dispersed Nanofluid and CFD Study of Its Utilization in a Concentrating PV/T System, Solar Energy 112: 30–40 (2015).
[3] Nasrin R., Alim M. A., Performance of Nanofluids on Heat Transfer in a Wavy Solar Collector, International Journal of Engineering, Science and Technology, 5(3): 58-77 (2013).
[4] Junaid Ahmad Khan, Mustafa M., Hayat T., Alsaedi A., Three-Dimensional Flow of Nanofluid over a Non-Linearly Stretching Sheet: An Application to Solar Energy, International Journal of Heat and Mass Transfer, 86: 158–164 (2015).
[5] Cregan V., Myers T.G., Modelling the Efficiency of a Nanofluid Direct Absorption Solar Collector, International Journal of Heat and Mass Transfer, 90: 505–514 (2015).
[6] Turkyilmazoglu M., Performance of Direct Absorption Solar Collector with Nanofluid Mixture, Energy Conversion and Management, 114: 1-10 (2016).
[7] Hatami M., Domairry G., Transient Vertically Motion of a Soluble Particle in a Newtonian Fluid Media, Powder Technology, 253: 481-485 (2014).
[9] Hatami M., Ganji D.D., Motion of a Spherical Particle in a Fluid Forced Vortex by DQM and DTM, Particuology, 16: 206-212 (2014).
[10] Dogonchi A. S, Hatami M., Domairry G., Motion Analysis of a Spherical Solid Particle in Plane Couette Newtonian Fluid Flow, Powder Technology, 274: 186-192 (2015).
[11] Haghshenas Fard M., Nasr Esfahany M., Talaie M.R., Numerical Study of Convective Heat Transfer of Nanofluids in a Circular Tube Two-Phase Model Versus Single-Phase Model, International Communications in Heat and Mass Transfer, 37: 91-97 (2010).
[12] Göktepe S., Atalık K., Ertürk H., Comparison of Single and Two-Phase Models for Nanofluid Convection at the Entrance of a Uniformly Heated Tube, International Journal of Thermal Sciences, 80: 83-92 (2014).
[13] Tauseef Mohyud-Din S., Zaidi Z. A., Khan U., Ahmed N., On Heat and Mass Transfer Analysis for the Flow of a Nanofluid between Rotating Parallel Plates, Aerosp. Sci. Technol. (2015).
[14] Hayat T., Imtiaz M., Alsaedi A, Kutbi M. A., MHD Three-Dimensional Flow of Nanofluid with Velocity Slip and Nonlinear Termal Radiation, Journal of Magnetism and Magnetic Materials, 396: 31-37 (2015).
[15] Khan J.A., Mustafa M., Hayat T., Alsaedi A., Three-Dimensional Flow of Nanofluid over a Non-Linearly Stretching Sheet: An Application to Solar Energy, Int. J. Heat. Mass. Trans. 86: 158-164 (2015).
[16] Shirvan K. M., Mamourian M., Mirzakhanlari S., Ellahi R., Vafai K., Numerical Investigation and Sensitivity Analysis of Effective Parameters on Combined Heat tTransfer Performance in a Porous Solar Cavity Receiver by rResponse Surface Methodology, International Journal of Heat and Mass Transfer, 105: 811-825 (2017).
[17] Fakour M., Vahabzadeh A., Ganji D. D., Hatami M., Analytical Study of Micropolar Fluid Flow and Heat Tansfer in a Channel with Permeable Walls, Journal of Molecular Liquids, 204: 198-204: (2015).
[18] Ghasemi S.E., Hatami M., Sarokolaie A.K., Ganji D.D., Study on Blood Flow Containing Nanoparticles Through Porous Arteries in Presence of Magnetic Field Using aAnalytical Methods, Physica E: Low-Dimensional Systems and Nanostructures, 70: 146-156 (2015).
[19] Ghasemi S.E., Hatami M., Mehdizadeh Ahangar Gh.R., Ganji D.D., Electrohydrodynamic Flow Analysis in a Circular Cylindrical Conduit Using Least Square method, Journal of Electrostatics, 72 (1): 47-52 (2014).
[20] Rahimi-Gorji M., Pourmehran O., Hatami M., Ganji D.D., Statistical Optimization of Microchannel Heat Sink (MCHS) Geometry Cooled by Different Nanofluids Using RSM Analysis, The European Physical Journal Plus, 22: 130, 1-21 (2015).
[21] Domairry, Hatami M., Squeezing Cu–Water Nanofluid Flow Analysis between Parallel Plates by DTM-Padé Method, Journal of Molecular Liquids, 193: 37-44 (2014).
[22] Ahmadi A.R., Zahmatkesh A., Hatami M., Ganji D.D., A Comprehensive Analysis of the Flow and Heat Transfer for a Nanofluid Over an Unsteady Stretching Flat Plate, Powder Technology, 258: 125-133 (2014).
[23] Hatami M., Ganji D.D., Thermal Behavior of Longitudinal Convective–Radiative Porous Fins with Different Section Shapes and Ceramic Materials (SiC and Si3N4), Ceramics International, 40(5): 6765-6775 (2014).
[24] Hatami M., Ganji D.D., Investigation of Refrigeration Efficiency for Fully Wet Circular Porous Fins with Variable Sections by Combined Heat and Mass Transfer Analysis, International Journal of Refrigeration, 40: 140-151 (2014).
[25] Hatami M., Mehdizadeh Ahangar GH.R., Ganji D.D., Boubaker K., Refrigeration Efficiency Analysis for Fully Wet Semi-Spherical Porous Fins, Energy Conversion and Management, 84: 533-540 (2014).
[26] Hatami M., Mosayebidorcheh S., Jing D., Two-Phase Nanofluid Condensation and Heat Transfer Modeling Using Least Square Method (LSM) for Industrial Applications, Heat and Mass Transfer 53(6): 2061-2072 (2017).
[27] Mosayebidorcheh S., Hatami M., Heat Transfer Analysis in Carbon Nanotube-Water between Rotating Disks under Thermal Radiation Conditions, Journal of Molecular Liquids (2017).
[28] Hatami M., Mosayebidorcheh S., Jing D., Thermal Performance Evaluation of Alumina-Water Nanofluid in an Inclined Direct Absorption Solar Collector (IDASC) Using Numerical Method, Journal of Molecular Liquids, 231: 632-639 (2017).
[29] Mosayebidorcheh S., Tahavori M. A., Mosayebidorcheh T., Ganji D. D., Analysis of Nano-Bioconvection Flow Containing Both Nanoparticles and Gyrotactic Microorganisms in a Horizontal Channel Using Modified Least Square Method (MLSM), Journal of Molecular Liquids, 227: 356-365 (2017).
[30] Hatami M., Mosayebidorcheh S., Geng J, Jing D., Heat Transfer and Nanofluids Flow Through the Circular Concentric Heat Pipes: a Comparative Study Using Least Square Method (LSM), Journal of Mathematics and computer Science-JMCS, 17 (2): 235-245 (2017).
[31] Mosayebidorcheh S., Sheikholeslami M., Hatami M., Ganji D.D., Analysis of Turbulent MHD Couette Nanofluid Flow and Heat Transfer Using Hybrid DTM–FDM, Particuology 26: 95-101 (2016).
[32] Keller H. B., "A New Difference Scheme for Parabolic Problems, Num. Solns. of Partial Differential Equations", II (Hubbard, B. ed.)., 327-350. New York: Academic Press, 1971.
[33] Bradshaw P., Cebeci T., Whitelaw J. H., "Engineering Calculation Methods for Turbulent Flow", Academic Press, (1981).