Enhancement of heat and mass transfer of a physical model using Generalized Caputo fractional derivative of variable order and modified Laplace transform method

In this paper, we use a model of non-Newtonian second grade fluid which having three partial differentialequations of momentum, heat and mass transfer with initial condition and boundary condition. Wedevelop the modified Laplace transform of this model with fractional order generalized Caputo fractional operator.We find out the solutions for temperature, concentration and velocity fields by using modified Laplacetransform and investigated the impact of the order α and ρ on temperature, concentration and velocity fieldsrespectively. From the graphical results, we have seen that both the α and ρ have reverse effect on the fluidflow properties. In consequence, it is observed that flow properties of present model can be enhanced nearthe plate for smaller and larger values of ρ. Furthermore, we have compared the present results with theexisting literature for the validation and found that they are in good agreement.

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Heat and Mass Transfer on Magnetohydrodynamic Convective Flow of Second Grade Fluid Through a Vertical Porous Channel with Non-Uniform Wall Temperature

Advanced Science Engineering and Medicine ◽

10.1166/asem.2020.2534 ◽

2020 ◽

Vol 12 (3) ◽

pp. 376-387 ◽

Cited By ~ 1

Author(s):

M. Veera Krishna ◽

N. Ameer Ahmed ◽

Ali J. Chamkha

Keyword(s):

Mass Transfer ◽

Skin Friction ◽

Heat And Mass Transfer ◽

Wall Temperature ◽

Second Grade ◽

Second Grade Fluid ◽

Uniform Wall Temperature ◽

Grade Fluid ◽

Uniform Wall ◽

The Impact

We analyze the impact of suction/injection on MHD convective oscillatory flow of second grade fluid through a Porous Medium in a vertical channel with non-uniform wall temperature. The liquid is occupied with a transverse Magnetic field and the velocity slip at the left plate is taken into consideration. The precise solutions of the dimensionless equations are obtained and the effects of the flow parameters on velocity, temperature and concentration profiles, skin friction and rates of heat and mass transfer are discussed. It is fascinating to take note of that skin friction increases on together channel plates as permeability increases.

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Unsteady magnetohydrodynamic flow of generalized second grade fluid through porous medium with Hall effects on heat and mass transfer

Physics of Fluids ◽

10.1063/5.0032821 ◽

2020 ◽

Vol 32 (11) ◽

pp. 113105

Author(s):

Xiaoyun Jiang ◽

Hui Zhang ◽

Shaowei Wang

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Heat And Mass Transfer ◽

Magnetohydrodynamic Flow ◽

Second Grade ◽

Second Grade Fluid ◽

Hall Effects ◽

Grade Fluid ◽

Generalized Second Grade Fluid

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MHD Stagnation Point Flow of Second Grade Fluid over a Stretching Cylinder with Heat and Mass Transfer

International Journal of Nonlinear Sciences and Numerical Simulation ◽

10.1515/ijnsns-2013-0104 ◽

2014 ◽

Vol 15 (6) ◽

Cited By ~ 13

Author(s):

T. Hayat ◽

M. S. Anwar ◽

M. Farooq ◽

A. Alsaedi

Keyword(s):

Mass Transfer ◽

Heat And Mass Transfer ◽

Stagnation Point ◽

Stagnation Point Flow ◽

Second Grade ◽

Stretching Cylinder ◽

Second Grade Fluid ◽

Grade Fluid

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Heat and Mass Transfer on MHD Rotating Flow of Second Grade Fluid Past an Infinite Vertical Plate Embedded in Uniform Porous Medium with Hall Effects

Trends in Mathematics - Applied Mathematics and Scientific Computing ◽

10.1007/978-3-030-01123-9_41 ◽

2019 ◽

pp. 417-427 ◽

Cited By ~ 7

Author(s):

M. Veera Krishna ◽

M. Gangadhar Reddy ◽

A. J. Chamkha

Keyword(s):

Mass Transfer ◽

Porous Medium ◽

Heat And Mass Transfer ◽

Vertical Plate ◽

Second Grade ◽

Rotating Flow ◽

Second Grade Fluid ◽

Hall Effects ◽

Grade Fluid ◽

Infinite Vertical Plate

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Approximate Solutions of the Model Describing Fluid Flow Using Generalized ρ-Laplace Transform Method and Heat Balance Integral Method

Axioms ◽

10.3390/axioms9040123 ◽

2020 ◽

Vol 9 (4) ◽

pp. 123 ◽

Cited By ~ 2

Author(s):

Mehmet Yavuz ◽

Ndolane Sene

Keyword(s):

Heat Balance ◽

Integral Method ◽

Fluid Model ◽

Second Grade ◽

Physical Analysis ◽

Second Grade Fluid ◽

Transform Method ◽

Heat Balance Integral Method ◽

Grade Fluid ◽

The Impact

This paper addresses the solution of the incompressible second-grade fluid models. Fundamental qualitative properties of the solution are primarily studied for proving the adequacy of the physical interpretations of the proposed model. We use the Liouville-Caputo fractional derivative with its generalized version that gives more comprehensive physical results in the analysis and investigations. In this work, both the ρ-Laplace homotopy transform method (ρ-LHTM) and the heat balance integral method (HBIM) are successfully combined to solve the fractional incompressible second-grade fluid differential equations. Numerical simulations and their physical interpretations of the mentioned incompressible second-grade fluid model are ensured to illustrate the main findings. It is also proposed that one can recognize the differences in physical analysis of diffusions such as ballistic diffusion, super diffusion, and subdiffusion cases by considering the impact of the orders ρ and φ.

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