IJATCA solicits original research papers for the January – 2026 Edition.
Last date of manuscript submission is January 30, 2026.
In this paper, the MHD boundary layer flow of a nanofluid along a permeable vertical flat plate with convective boundary condition is studied numerically. We assumed that the relationship between the density and temperature as nonlinear. Buongiorno’s nanofluid model, which includes the effects of Brownian motion and thermophoresis, is used in the present study. The system governing of equations are solved using a novel Local Linearization Method (LLM). Validations of the numerical results are verified with the existing literature in some special cases. The influence of various parameters on the flow and physical quantities are presented and discussed.
Aziz, A., & Khan, W. A. (2012). Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate. International Journal of Thermal Sciences, 52, 83-90.
Buongiorno, J. (2006). Convective transport in nanofluids. Journal of heat transfer, 128(3), 240-250.
Chamkha, A. J., & Aly, A. M. (2010). MHD free convection flow of a nanofluid past a vertical plate in the presence of heat generation or absorption effects. Chemical Engineering Communications, 198(3), 425-441.
Chol, S. U. S., & Estman, J. A. (1995). Enhancing thermal conductivity of fluids with nanoparticles. ASME-Publications-Fed, 231, 99-106.
Kameswaran, P. K., Vasu, B., Murthy, P. V. S. N., & Gorla, R. S. R. (2016). Mixed convection from a wavy surface embedded in a thermally stratified nanofluid saturated porous medium with non-linear Boussinesq approximation. International Communications in Heat and Mass Transfer, 77, 78-86.
Kuznetsov, A. V., & Nield, D. A. (2010). Natural convective boundary-layer flow of a nanofluid past a vertical plate. International Journal of Thermal Sciences, 49(2), 243-247.
Motsa, S. S. (2013). A new spectral local linearization method for nonlinear boundary layer flow problems. Journal of Applied Mathematics, 2013.
Motsa, S. S., Makukula, Z. G., & Shateyi, S. (2013). Spectral local linearisation approach for natural convection boundary layer flow. Mathematical Problems in Engineering, 2013.
Mutuku-Njane, W. N., & Makinde, O. D. (2014). MHD nanofluid flow over a permeable vertical plate with convective heating. Journal of Computational and Theoretical Nanoscience, 11(3), 667-675.
Rana, P., & Bhargava, R. (2011). Numerical study of heat transfer enhancement in mixed convection flow along a vertical plate with heat source/sink utilizing nanofluids. Communications in Nonlinear Science and Numerical Simulation, 16(11), 4318-4334.
Satya Narayana, P. V., Venkateswarlu, B., & Venkataramana, S. (2015). Thermal radiation and heat source effects on a MHD nanofluid past a vertical plate in a rotating system with porous medium. Heat Transfer—Asian Research, 44(1), 1-19.
Uddin, M. J., Khan, W. A., & Ismail, A. I. (2012). MHD free convective boundary layer flow of a nanofluid past a flat vertical plate with Newtonian heating boundary condition. PLoS One, 7(11), e49499.
Vajravelu, K., Cannon, J. R., Leto, J., Semmoum, R., Nathan, S., Draper, M., & Hammock, D. (2003). Nonlinear convection at a porous flat plate with application to heat transfer from a dike. Journal of Mathematical Analysis and Applications, 277(2), 609-623.
Nonlinear Thermal Convection, Nanofluid, Suction/Injection Effects, Convective Boundary Condition.
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