The Influence of Thermal Expansion on Flow Past an Inclined Accelerated Sectional Plate with Persistent Mass Diffusion
More details
Hide details
Department of Mathematics, Panimalar Engineering College Poonamallee, Chennai, 600123, Tamil Nadu, India
Department of Applied Mathematics, Sri Venkateswara College of Engineering, Sriperumbudur, 602117, Tamil Nadu, India
Online publication date: 2022-12-03
Publication date: 2022-12-01
International Journal of Applied Mechanics and Engineering 2022;27(4):105–116
In this article, we examined the solution of a homogeneously intensified isothermal inclined infinite plate with constant temperature. The plate is elevated to Tw, and the species accumulation is enhanced at a consistent speed. Under appropriate boundary conditions, the non-dimensional guiding formulae are remedied using the Laplace transform procedure. The effect of velocity, temperature, and concentration on various factors, including thermal and mass Grashof numbers, Schmidt numbers, and duration, is discussed. The velocity increases proportionally to the thermal and mass Grashof numbers, but decreases as the inclined angle, Schmidt numbers and time increase.
Gebhart B. and Pera L. (1971): The nature of vertical natural convection flows resulting from the combined buoyancy effects of thermal and mass diffusion.− Int. J. Heat and Mass Transfer, vol.14, pp.2025-2050.
Fujii T. and Imura H. (1972): Natural convection heat transfer from a plate with arbitrary inclination.− Int. J. Heat Mass Tran., vol.15, pp.755-767.
Gupta A.S., Pop I., and Soudalgekar V.M., (1979): Free convection effects on the flow past an accelerated vertical plate in an incompressible dissipative fluid.– Rev. Roum. Sci. Techn.-Mec. Apl., vol.24, pp.561-568.
Soundalgekar V.M. and Ganesan P. (1981): Finite-difference analysis of transient free convection with mass transfer on an isothermal vertical flat plate.– International Journal of Engineering Science, vol.19, pp.757-770, http://dx.doi.org/10.1016/0020....
Soundalgekar V.M. (1982): Effects of mass transfer on flow past a uniformly accelerated vertical plate.– Letters in Heat and Mass Transfer, vol.9, No.1, pp.65-72.
Raptis A.A. and Singh A.K (1983): MHD free convection flow past an accelerated vertical plate. Int. Comm.– Heat Mass Transfer,vol.10. pp.313-321.
Das U.N., Deka R. and Soundalgekar V.M. (1994): Effects of mass transfer on flow past an impulsively started infinite vertical plate with constant heat flux and chemical reaction.– Forschung im Ingenieurwesen, vol.60, No.10, pp.284-287.
Muthucumaraswamy R. and Ganesan P. (2001): First order chemical reaction on flow past an impulsively started vertical plate with uniform heat and mass flux.– Acta Mechanica, vol.147, pp.45-57.
Singh A.K. and Singh N.P. (2003): Heat and mass transfer in MHD flow of a viscous fluid past a vertical plate under oscillatory suction velocity.– Indian Journal of Pure and Applied Mathematics, vol.34, pp.429-442.
Molla M.M., Hossain M.A. and Yao L.S. (2004): Natural convection flow along a vertical wavy surface with heat generation/absorption.– Int. J. Therm. Sci., vol.43, No.2, pp.157-163.
Raptis A. and Perdikis C. (2006): Viscous flow over a non-linearly stretching sheet in the presence of a chemical reaction and magnetic field.– International Journal of Non-Linear Mechanics, vol.41, No.4, pp.527-529.
Muthucumaraswamy R., Sundar Raj M. and Subramanian V.S.A. (2008): Mass transfer effects on linearly accelerated vertical plate with heat flux and variable mass diffusion.– International Journals of Applied Mathematical Analysis and Applications, vol.3, No.2, pp.145-151.
Deka R.K. (2008): Hall effects on MHD flow past an accelerated plate.– Theoret. Appl. Mech., vol.35, No.4, pp.333-346.
Rajesh V. and Varma S.V.K. (2009): Chemical reaction and radiation effects on MHD flow past an infinite vertical plate with variable temperature.– Far East Journal of Mathematical Sciences, vol.32, pp.87-106.
Muthucumaraswamy R., Nagarajan.G. and Subramanian V.S.A. (2010): MHD effects on oscillating vertical plate in the presence of chemical reaction of first order.– Annals of Faculty Engineering Hunedoara International Journal of Engineering, vol.3, pp 220-225.
Singh P.K. (2012): Heat and mass transfer in MHD boundary layer flow past an inclined plate with viscous dissipation in porous medium.– International Journal of Scientific and Engineering Research, vol.3, pp.2229-5518.
Chauhan D. S. and Rastogi P. (2012): Hall effects on MHD slip flow and heat transfer through a porous medium over an accelerated plate in a rotating system.– International Journal of Nonlinear Science, vol.14, No.2, pp.228-236.
Barik R.N., Dash G.C. and Rath P.K. (2014): Thermal radiation effect on an unsteady MHD flow past inclined porous heated plate in the presence of chemical reaction and viscous-dissipation.− Appl. Math. Comput., vol.226, No.1, pp.423-434.
Tripathy R.S., Dash G.C., Mishra S. R. and Baag S. (2015): Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium.–Alexandria Engineering Journal. vol.54, No.3, pp.673-679.
Sidda Reddy K and Raju G.S.S (2016): Hall current and radiation effects on MHD free convective heat and mass transfer flow past an accelerated inclined porous plate with thermal diffusion.– International Journal of Mathematics and Computer Applications Research, vol.6, No.4, pp.41-62.
Ramana Reddy J. V., Sandeep N. and Sugunamma V. (2016): Thermo diffusion and hall current effects on an unsteady flow of a nanofluid under the influence of inclined magnetic field.– International Journal of Engineering Research in Africa vol.20, pp.61-79.
Setha G.S., Mandal P.K. and Chamkhab A.J. (2016): MHD free convective flow past an impulsively moving vertical plate with ramped heat flux through porous medium in the presence of inclined magnetic field.– Article in Frontiers in Heat and Mass Transfer, vol.23, No.7, pp.1-12, DOI: 10.5098/hmt.7.23.
Rajput U.S. and Gaurav Kumar (2017): Effects of Hall current and chemical reaction on MHD flow through porous medium past an oscillating inclined plate with variable temperature and mass diffusion.– European Journal of Advances in Engineering and Technology, vol.4, No.1, pp 56-63.
Dhal R.K, Banamali Jena and Sreekumar P.M (2017): Heat and mass transfer effects on MHD free convection flow over an inclined and exponentially accelerated plate embedded in porous medium with heat source.– International Research Journal of Advanced Engineering and Science, vol.2, No.2, pp.299-303.
Shankar Goud B., Pudhari Srilatha and Raja Shekar M.N. (2018): Study of Hall current and radiation effects on MHD free convective flow past an inclined parabolic accelerated plate with variable temperature in a porous medium.– International Journal of Mechanical Engineering and Technology, vol.9, No.7, pp.1268-1276.
Venkateswarlu M., Bhaskar P. and Venkata Lakshmi D. (2019): Soret and Dufour effects on radiative hydromagnetic flow of a chemically reacting fluid over an exponentially accelerated inclined porous plate in presence of heat absorption and viscous dissipation.– J. Korean Soc. Ind. Appl. Math, vol.23, No.3, pp.157-178.
Usharani V., Selvaraj A., Constance Angela R. and Neel Armstrong A. (2020): Impact of MHD stream past an exponentially inclined vertical plate of first-order chemical response with variable mass diffusion and thermal radiation.– Mathematical Modeling and Computational Science, Advances in Intelligent Systems and Computing, vol.1292, pp.485-497.
Iftikhar N., Baleanu D., Riaz M.B. and Husnine S.M. (2021): Heat and mass transfer of natural convective flow with slanted magnetic field via fractional operators.– Journal of Applied and Computational Mechanics, vol.7, No.1, pp.189-212.
Zafar A.A., Awrejcewicz J., Kudra G., Nehad Ali Shah and Yook S-J. (2021): Magneto-free-convection flow of a rate type fluid over an inclined plate with heat and mass flux.– Case Studies in Thermal Engineering, vol.27, pp.101249.
Shamshuddin M.D., Abderrahmane A., Koulali A., Eid M.R., Shahzad F. and Jamshed W. (2021): Thermal and solutal performance of Cu/CuO nanoparticles on a non-linear radially stretching surface with heat source/sink and varying chemical reaction effects.– Int. Commun. Heat Mass Transfer, vol.129, pp.105710.
Swain K., Mebarek-Oudina F., Abo-Dahab S.M. (2022): Influence of MWCNT/Fe3O4 hybrid nanoparticles on an exponentially porous shrinking sheet with chemical reaction and slip boundary conditions.– J. Therm. Anal. Calorim., vol.147, No.2, pp.1561-1570, doi. 10.1007/s10973-020-10432-4.
Preeti Kaushik and Upendra Mishra (2022): Numerical solution of free stream MHD flow with the effect of velocity slip condition from an inclined porous plate.– J. Math. Comput. Sci., vol.12, No.19, pp.1-14, doi. 10.28919/jmcs/6913.
Bejawada S.G., Reddy Y.D., Jamshed W., Nisar K.S., Alharbi A.N. and Chouikh R. (2022): Radiation effect on MHD Casson fluid flow over an inclined non-linear surface with chemical reaction in a Forchheimer porous medium “ Alexandria Engineering Journal, vol.61, No.10, pp.8207-8220, doi.org /10.1016 /j.aej.2022.01.043.