Free convection flow in an inclined plate with variable thermal conductivity by scaling group transformations

Bhuvaneswari, M.; Sivasankaran, S.

doi:10.1063/1.4887629

Cited by 6 publications

(4 citation statements)

References 7 publications

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“…From the velocity solution v(y, t) computed in Eq. (33), which can easily satisfies the imposed initial / boundary conditions.…”

Section: Solution Of the Problemmentioning

confidence: 99%

“…It is conceived that velocity, energy and concentration are functions of y and t only. The following principal equations for Oldroyd-B fluid under Boussinesq's approximation, for velocity field, concentration distribution and energy transfer are obtained as 33,34 : Also equations for heat and mass are taken as: with connected initial conditions together with boundary conditions are given below: where v(y, t) , C(y, t) and T(y, t) represents the fluid velocity, concentration andenegy distribution. Where the parameters β T , D C , β C , R C , 1 , c p , g, σ , ν, q r , ρ, k, and 2 are thermal expansion coefficient, mass diffusivity, concentration expansion coefficient, chemical reaction, relaxation time, specific heat at constant pressure, gravitational acceleration, electrical conductivity, kinematic viscosity, radiative heat flux, fluid density, thermal (1) www.nature.com/scientificreports/ conductivity and retardation time.…”

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confidence: 99%

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Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate

Riaz

Rehman

Wojciechowski

et al. 2023

Sci Rep

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The present work examines the analytical solutions of the double duffusive magneto free convective flow of Oldroyd-B fluid model of an inclined plate saturated in a porous media, either fixed or moving oscillated with existence of slanted externally magnetic field. The phenomenon has been expressed in terms of partial differential equations, then transformed the governing equations in non-dimensional form. On the fluid velocity, the influence of different angles that plate make with vertical is studied as well as slanted angles of the electro magnetic lines with the porous layered inclined plate are also discussed, associated with thermal conductivity and constant concentration. For seeking exact solutions in terms of special functions namely Mittag–Leffler functions, G-function etc., for Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature, Laplace integral transformation method is used to solve the non-dimensional model. The contribution of different velocity components are considered as thermal, mass and mechanical, and analyse the impacts of these components on the fluid dynamics. For several physical significance of various fluidic parameters on Oldroyd-B fluid velocity, concentration and Oldroyd-B fluid temperature distributions are demonstrated through various graphs. Furthermore, for being validated the acquired solutions, some limiting models such as Newtonian fluid in the absence of different fluidic parameters. Moreover, the graphical representations of the analytical solutions illustrated the main results of the present work and studied various cases regarding the movement of plate.

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“…From the velocity solution v(y, t) computed in Eq. (33), which can easily satisfies the imposed initial / boundary conditions.…”

Section: Solution Of the Problemmentioning

confidence: 99%

mentioning

confidence: 99%

Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate

Riaz

Rehman

Wojciechowski

et al. 2023

Sci Rep

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“…The important impact of the chemical reaction and the convective surface boundary condition on the MHD magnetic heat and mass transmission upon a vertical sheet are explored by Gangadhar (2013) with the Soret and Dufour influences. Bhuvaneswari and Sivasankaran (2014) analyzed the effect of the variable thermal conductivity on the free convective heat and mass transmission movement upon an inclined semi-infinite sheet. The impacts of the chemical reaction and the radiative on a visco-elastic MHD free convective movement on a vertical permeable sheet over a perforated media are presented by Choudhury and Kumar Das (2014).…”

Section: Introductionmentioning

confidence: 99%

Effects of Heat Generation and Chemical Reaction on Time-Dependent MHD Natural Convective Transport Past in a Vertical Perforated Sheet

2024

J. of Eng. Sci.

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This investigation focused on the impacts of heat production and chemical reaction on time-dependent MHD-free convective transport via a vertical permeable sheet. The ODEs are obtained by transforming the governing PDEs using similarity transformations. With the assistance of MATLAB software, the shooting technique is utilized to numerically resolve the non-dimensional governing equations with boundary conditions. The role of emerging non-dimensional parameters or numbers like the Schmidt number , heat generation parameter (Q), Prandtl number , and chemical reaction parameter (Kr) on fluid temperature, velocity, and concentration were discussed within the boundary layer. The results show that temperature and fluid motion are improved by raising the heat generating parameters. On the contrary, as the chemical reaction value goes up, the fluid velocity and concentration do as well. Journal of Engineering Science 14(2), 2023, 137-144

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“…Soret and Dufour effects on similarity solution of hydro magnetic heat and mass transfer over a vertical plate with a convective surface boundary condition and chemical reaction are studied by Gangadhar (2013). Lie group analysis of natural convection over an inclined semi-infinite plate with variable thermal conductivity is investigated by Bhuvaneswari and Sivasankaran (2014). They observed that the velocity and temperature for all angles increase when the thermal conductivity parameter increases.…”

Section: Introductionmentioning

confidence: 99%

Soret and Dufour Effects on MHD Mixed Convection Heat and Mass Transfer of a Stagnation Point Flow towards a Vertical Plate in a Porous Medium with Chemical Reaction, Radiation and Heat Generation

Karthikeyan¹,

Bhuvaneswari²,

Sivasankaran³

et al. 2016

JAFM

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The objective of this paper is to analyze the effects of heat and mass transfer in the presence of thermal radiation, internal heat generation and Dufour effect on an unsteady magneto-hydrodynamic mixed convection stagnation point flow towards a vertical plate embedded in a porous medium. The non-linear partial differential equations governing the flow are transformed into a set of ordinary differential equations using suitable similarity variables and then solved numerically using shooting method together with Runge-Kutta algorithm. The effects of the various parameters on the velocity, temperature and concentration profiles are depicted graphically and values of skin-friction coefficient, Nusselt number and Sherwood number for various values of physical parameters are tabulated and discussed. It is observed that the temperature increases for increasing values of the internal heat generation, thermal radiation and the Dufour number and hence thermal boundary layer thickness increases.

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Free convection flow in an inclined plate with variable thermal conductivity by scaling group transformations

Cited by 6 publications

References 7 publications

Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate

Heat and mass flux analysis of magneto-free-convection flow of Oldroyd-B fluid through porous layered inclined plate

Effects of Heat Generation and Chemical Reaction on Time-Dependent MHD Natural Convective Transport Past in a Vertical Perforated Sheet

Soret and Dufour Effects on MHD Mixed Convection Heat and Mass Transfer of a Stagnation Point Flow towards a Vertical Plate in a Porous Medium with Chemical Reaction, Radiation and Heat Generation

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