Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Variable thermal conductivity and mass diffusivity effects in a free convective flow of doubly stratified non-darcian porous medium over a vertical plate
1
Department of Mathematics, Sir Theagaraya College, India
2
Department of Mathematics, SRM Institute of Science and Technology
3
Department of Mathematics, SRM Institute of Science and Technology, India
4
Department of Mathematics, Sri Sivasubramaniya Nadar College of Engineering, India
5
Faculty of Mathematics, University of Cluj CP253, Romania
Submission date: 2023-10-25
Final revision date: 2023-12-12
Acceptance date: 2024-01-09
Online publication date: 2024-03-26
Publication date: 2024-03-27
Corresponding author
Bapuji Pullepu
Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur
Department of Mathematics, SRM Institute of Science and Technology, 603203, Kattankulathur
International Journal of Applied Mechanics and Engineering 2024;29(1):159-178
KEYWORDS
TOPICS
ABSTRACT
The research in this article is carried out to study incompressible and unsteady free convective flow on a semi-infinite isothermal vertical plate in a doubly stratified non-Darcian porous media with variable mass diffusivity and variable thermal conductivity. The governing non-linear partial differential equations of flow were calculated by applying an implicit finite difference scheme of Crank-Nicolson type. Various parametric impacts on concentration profiles, temperature, velocity, as well Sherwood number, Nusselt number and skin friction, were examined and presented in graphs. It is examined that there exists a significant temperature decrease for high Darcy number in stratified fluids. Also, it is detected that the presence of stratification produces a considerable drop in skin friction while increases the mass and heat transfer rate. Comparison of current outcomes well agreed with the available solutions.
REFERENCES (36)
1.
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 Mass Transfer., vol.14, pp.2025-2050.
2.
Hellums J.D. and Churchill S.W. (1962): Transient and steady state, free and natural convection, numerical solutions, Part I, The isothermal vertical plate.– A.I.CH.E. Jl., vol.8, pp.690-692.
3.
Callahan G.D. and Marner W.J (1976): Transient free convection with mass transfer on an isothermal vertical flat plate.– Int. J. Heat Mass Transfer., vol.19, pp.165-174.
4.
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.
5.
Abdul Kafoor Abdul Hakeema, Bhose Gangab, Sait Mohamed Yusuff Ansaric, Nagaraj Vishnu Ganesha, Mohammad Mansur Rahmand (2017): Nonlinear studies on the effect of non-uniform heat generation/absorption on hydromagnetic flow of nanofluid over a vertical plate.– Nonlinear Analysis: Modelling and Control, vol.22, No.1, pp.1-16.
6.
Chamkha Ali J, Camille Issa and Khalil Khanafer (2002): Natural convection from an inclined plate embedded in a variable porosity porous medium due to solar radiation.– International Journal of Thermal Sciences, vol.41, No.1, pp.73-81.
7.
Chamkha A.J. (1997): Non-Darcy fully developed mixed convection in a porous medium channel with heat generation/absorption and hydromagnetic effects.– Numerical Heat Transfer, Part A Applications, vol.32, No.6, pp.653-675.
8.
Chamkha A.J. (1996): Non-Darcy hydromagnetic free convection from a cone and a wedge in porous media.– International Communications in Heat and Mass Transfer, vol.23, No.6, pp.875-887.
9.
Nield D.A and Bejan A (1999): Convection in porous Media.– second ed., Springer, New York.
10.
Ingham D.B and Pop I (1998): Transport Phenomena in Porous Media.– Pergamon Oxford.
11.
Cheng P and Minkowycz W.J, (1977): Free convection about a vertical flat plate embedded in a porous medium with application to heat transfer from a dike.– J. Geophys. Res, vol.82, pp.2040-2044.
12.
Raptis A, Singh A.K and Rai K.D (1987): Finite difference analysis of unsteady free convective flow through a porous medium adjacent to a semi- infinite vertical plate.– Mechanics Research Communications, vol.14, pp.9-16.
13.
Lai F.C and Kulacki F.A. (1991): Coupled heat and mass transfer by natural convection from vertical surfaces in porous media.– International Journal of Heat and Mass Transfer, vol.34, pp.1189-1194.
14.
Chamkha A.J., Aly A.M. and Mansour M.A. (2010): Unsteady natural convective power-law fluid flow past a vertical plate embedded in a non-Darcian porous medium in the presence of a homogeneous chemical reaction.– Nonlinear Analysis: Modelling and Control, vol.15, No.2, pp.139-154.
15.
Farhad Ali, Nadeem Ahmad Sheikh, Muhammad Saqib, Ilyas Khan (2017): Unsteady MHD flow of second-grade fluid over an oscillating vertical plate with isothermal temperature in a porous medium with heat and mass transfer by using the laplace transform technique.– Journal of Porous Media, vol.20, No.8, pp.671-690, DOI:10.1615/JPorMedia.v20.i8.10.
16.
Chen C.C and Eichhorn R. (1976): Natural convection from a vertical surface to a thermally stratified fluid.– ASME Journal of Heat Transfer, vol.98, pp.446-451.
17.
Angirasa D. and Srinivasan J. (1989): Natural convection flows due to the combined buoyancy of heat and mass diffusion in a thermally stratified medium.– ASME Journal of Heat Transfer, vol.111, pp.657-663.
18.
Srinivasan J. and Angirasa D. (1998): Numerical study of double-diffusive free convection from a vertical surface.– Int. J. Heat Mass Transfer, vol.31, pp.2033-2038.
19.
Hung C.I. and Chen C.B. (1997): Non-Darcy free convection in a thermally stratified porous medium along a vertical plate with variable heat flux.– Heat and Mass Transfer, vol.33, pp.101-107.
20.
Magyari E., Pop I. and Keller B. (2006): Unsteady free convection along an infinite vertical flat plate embedded in a stably stratified fluid-saturated porous medium.– Transport in Porous Media, vol.62, pp.233-249.
21.
Rathish Kumar B.V. and Shalini Gupta (2005): Combined influence of mass and thermal stratification on double-diffusion non-Darcian natural convection from a wavy vertical wall to porous media.– Journal of Heat Transfer, vol.127, pp.637-647.
22.
Srinivasacharya D. and Surender O. (2014): Effect of double stratification on mixed convection boundary layer flow of a nanofluid past a vertical plate in a porous medium.– Appl. Nanosci., vol.5, No.1, pp.29-38.
23.
Maria Neagu (2011): Free convective heat and mass transfer induced by a constant heat and mass fluxes vertical wavy wall in a non-Darcy double stratified porous medium.– International Journal of Heat and Mass Transfer, vol.54, pp.2310-2318.
24.
Carl Wagner (1968): Diffusion of lead chloride dissolved in solid silver chloride.– The Journal of Chemical Physics, vol.18, pp.227-1230.
25.
Willbanksrt C.E. (1968): On similarity of a problem in concentration-dependent diffusion and flow in a free boundary layer.– Int. J. Engg Sci., vol.6, pp.53l-537.
26.
Elbashbeshy E.M.A. and Ibrahim F.N, (1993): Steady free convection flow with variable viscosity and thermal diffusivity along a vertical plate.– J. Phys. D: Appl. Phys., vol.26, pp.2137-2143,.
27.
Hassanien A and Rashed Z.Z. (2011): Non-Darcy free convection flow over a horizontal cylinder in a saturated porous medium with variable viscosity, thermal conductivity and mass diffusivity.– Commun. Nonlinear Sci. Numer. Simulat., vol.16, pp.1931-1941.
28.
Gorla R.S.R. and Chamkha A. (2011): Natural convective boundary layer flow over a non-isothermal vertical plate embedded in a porous medium saturated with a nanofluid.– Nanoscale and Microscale Thermophysical Engineering, vol.15. No.2, pp.81-94.
29.
Hamad M.A.A., Uddin M.D. and Ismail A.I. MD (2012): Investigation of combined heat and mass transfer by Lie group analysis with variable diffusivity taking into account hydrodynamic slip and thermal convective boundary conditions.– International Journal of Heat and Mass Transfer, vol.55, pp.1355-1362.
30.
Hamad M.A.A., Jashim Uddin MD and Ismail A.I. MD (2012): Radiation effects on heat and mass transfer in MHD stagnation-point flow over a permeable flat plate with thermal convective surface boundary condition, temperature dependent viscosity and thermal conductivity.– Nuclear Engineering and Design, vol.242, pp.194-200.
31.
Abdou M.M.M, (2010): Effect of radiation with temperature dependent viscosity and thermal conductivity on unsteady a stretching sheet through porous media.– Nonlinear Analysis: Modelling and Control, vol.15, No.3, pp.257-270.
32.
Ullah Z., Ashraf M., Zia S., Chu Y., Khan I., and Nisar K.S. (2020): Computational analysis of the oscillatory mixed convection flow along a horizontal circular cylinder in thermally stratified medium.– CMC Comput. Mater. Cont., vol.65, No.1, pp.109-123.
33.
Chu Y.M., Shah F., Khan M.I., Kadry S., Abdelmalek Z. and Khan W.A. (2020): Cattaneo-Christov double diffusions (CCDD) in entropy optimized magnetized second grade nanofluid with variable thermal conductivity and mass diffusivity.– Journal of Materials Research and Technology, vol.9, No.6, pp.13977-13987.
34.
Herrmann Schilichting (1969): Boundary Layer Theory.– John Wiley and Sons, New York.
35.
Carnahan B. Luther H.A. and Wilkes J.O. (1969): Applied Numerical Methods.– John Wiley and Sons, New York.
36.
Yang K.T., Novotny J.L. and Cheng Y.S. (1972): Laminar free convection from a non-isothermal plate immersed in a temperature stratified medium.– Int. J. Heat Mass Transfer., vol.15, pp.1097-1109.
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2024 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
