THERMAL SCIENCE
International Scientific Journal
BOUNDARY-LAYER FLOW OF HEAT AND MASS FOR TIWARI-DAS NANOFLUID MODEL OVER A FLAT PLATE WITH VARIABLE WALL TEMPERATURE
ABSTRACT
A numerical study of boundary-layer flow past on a moving flat plate in nanofluid with variable wall temperature and viscous dissipation is presented. The PDE containing model for flow phenomena are transformed to ODE with the aid of appropriate similarity transformations. The transformed equations are then solved numerically by using the built-in bvp4c scheme of MATLAB. After the validation of the scheme, numerical solutions are determined for the temperature and nanoparticle concentration profiles along with physical quantities of interest. The effects of involved parameters such as variable temperature index, Prandtl number, Eckert number, Lewis number, plate moving parameter, thermophoresis motion, and Brownian parameters are examined and reported through graphs and tables
KEYWORDS
PAPER SUBMITTED: 2022-08-15
PAPER REVISED: 2022-09-25
PAPER ACCEPTED: 2022-10-13
PUBLISHED ONLINE: 2023-01-21
- Maxwell, J. C., Theory of Heat, Oxford University Press, London, UK, 1904
- Keblinski, P., et al., Mechanisms of Heat Flow in Suspensions of Nano-Sized Particles (Nanofluids), Int. J. Heat Mass Transf., 45 (2002), 4, pp. 855-863
- Choi, S. U., Eastman, J. A., Enhancing Thermal Conductivity of Fluids with Nanoparticles (No. ANL/MSD/CP-84938; CONF-951135-29), Argonne National Lab., Argone, Ill, USA, 1995
- Tiwari, R. K., Das, M. K., Heat Transfer Augmentation in a Two-Sided Lid-Driven Differentially Heated Square Cavity Utilizing Nanofluids, International Journal of heat and Mass transfer, 50 (2007), 9-10, pp. 2002-2018
- Buongiorno, J., Convective transport in nanofluids, Jou. of Heat Transfer, 128 (2006), 3, pp. 240-250
- Machireddy, G. R., et al., Effects of Magnetic Field and Ohmic Heating on Viscous Flow of a Nanofluid Towards a Nonlinear Permeable Stretching Sheet, Journal of Nanofluids, 5 (2016), 3, pp. 459-470
- Sakiadis, B. C., Boundary-Layer Behavior on Continuous Solid Surfaces: I. Boundary-Layer Equations for Two Dimensional and Axisymmetric Flow, American Institute of Chemical Engineers (AIChE) Journal, 7 (1961), 1, pp. 26-28
- Crane, L. J., Flow Past a Stretching Plate, Zeitschrift für angewandte Mathematik und Physik ZAMP, 21 (1970), 4, pp. 645-647
- Rehman, S. U., et al., Impact of Cattaneo-Christov Heat Flux Model on the Flow of Maxwell Ferromagnetic Liquid Along a Cold Flat Plate Embedded with Two Equal Magnetic Dipoles, J. Magn, 22 (2017), 3, pp. 472-477
- Kakac, S., Pramuanjaroenkij, A., Review of convective heat transfer enhancement with nanofluids, Int. J. Heat Mass Transf., 52 (2009), 13-14, pp. 3187-3196
- Gnaneswara, M. R., Influence of Magnetohydrodynamic and Thermal Radiation Boundary Layer Flow of a Nanofluid Past a Stretching Sheet, J. Sci. Res., 6 (2014), 2, pp. 257-272
- Hassan, M., Impact of Iron Oxide Particles Concentration Under a Highly Oscillating Magnetic Field on Ferrofluid Flow, The European Physical Journal Plus, 133 (2018), 6, pp. 1-14
- Ishak, A., et al., Radiation Effects on the Thermal Boundary-Layer Flow over a Moving Plate with Convective Boundary Condition, Meccanica; 46 (2011), 4, pp. 795-801
- Hassan, M., et al., The Effects of Zero and High Shear Rates Viscosities on the Transportation of Heat and Mass in Boundary-Layer Regions: A Non-Newtonian Fluid with Carreau Model, Journal of Molecular Liquids, 317 (2020), 113991
- Fetecau, C., et al., Analytical Solutions for Two Mixed Initial-Boundary Value Problems Corresponding to Unsteady Motions of Maxwell Fluids through a Porous Plate Channel, Mathematical Problems in Engineering, 2021 (2021), ID5539007
- Hassan, M., et al., Effects of Cu-Ag Hybrid Nanoparticles on the Momentum and Thermal Boundary-Layer Flow Over the Wedge, Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering, 233 (2019), 5, pp. 1128-1136
- Vajravelu, K., Hadjinicolaou, A., Heat Transfer in a Viscous Fluid Over a Stretching Sheet with Viscous Dissipation and Internal Heat Generation, International Communications in Heat and Mass Transfer, 20 (1993), 3, pp. 417-430
- Hassan, M., et al., Assessment of Boundary-Layer for Flow of Non‐Newtonian Material Induced by a Moving Belt with Power Law Viscosity and Thermal Conductivity Models, Numerical Methods for Partial Differential Equations, On-line first, doi.org/10.1002/num.22743, 2021
- Hassan, M., et al., Transport Pattern of Non-Newtonian Mass and Thermal Energy Under Two Diverse Flow Conditions by Using Modified Models for Thermodynamics Properties, Case Studies in Thermal Engineering, 29 (2022), 101714
- Yirga, Y., Shankar, B., Effects of Thermal Radiation and Viscous Dissipation on Magnetohydrodynamic Stagnation Point Flow and Heat Transfer of Nanofluid Towards a Stretching Sheet, Journal of Nanofluids; 2 (2013), 4, pp. 283-291
- Menni, Y., et al., Heat and Mass Transfer of Oils in Baffled and Finned Ducts, Thermal Science, 24 (2021), Suppl. 1, pp. S267-276
- Asadullah, M., et al, Mathematical Fractional Modeling of Transpot Phenomena of Viscous Fluid-Flow Between Two Plates, Thermal Science, 25 (2021), Special Issue 2, pp. S417-S421
- Arshed, S., et al, Soliton Solutions for Non-Linear Kudryashov's Equation via Three Integrating Schemes, Thermal Science, 25 (2021), Special Issue 2, pp. S157-S163
- Ulutas, E., et al., Exact Solutions Of Stochastic Kdv Equation With Conformable Derivatives In White Noise Environment, Thermal Science, 25 (2021), Special Issue 2, pp. S143-S149
- Anuar, M. M., et al., Boundary-Layer Flow over a Moving Plate in a Nanofluid with Viscous Dissipation, Proceedings, 3rd International Conference on Computer Engineering and Mathematical Sciences (ICCEMS 2014), Langkawi, Malaysia