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M. Sreedhar Babu ¹, K. Gangadhar ², M. Lavanya ¹

Affiliations
1 Department of Applied Mathematics, Y.V. University, Kadapa, A.P., IN
2 Department of Mathematics, Acharya Nagarjuna University, Ongole, AP-523001, IN

Abstract

In this paper, similarity solution of the steady boundary layer flow and heat transfer of a Casson nanofluid flowing over a vertical cylinder which is stretching exponentially along its radial direction in the presence of MHD and Newtonian heating is investigated. The governing partial differential equations are converted into nonlinear, ordinary, and coupled differential equations and are solved using bvp4c Matlab solver. The effects of important parameters such as Magnetic parameter, Reynolds number, Prandtl number, Lewis number. Natural convection parameter and the conjugate parameter for Newtonian heating are described through graphs. The numerical results are compared with the published data and are found to be in good agreement.".

Keywords

MHD, Casson Nanofluid, Heat and Mass Transfer, Newtonian Heating.

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B. C. Ajay ¹, D. Kambiranda ², S. K. Bera ¹, Narendra Kumar ¹, K. Gangadhar ¹, R. Abdul Fiyaz ³, K. T. Ramya ⁴

Affiliations
1 ICAR-Directorate of Groundnut Research, Post Box 5, Ivnagar Road, Junagadh 362 001, IN
2 Centre for Viticulture and Small Fruit Research, Florida A&M University, 6505 Mahan Drive Tallahassee, Florida 32317, US
3 ICAR-Indian Institute of Rice Research, Rajendranagar, Hyderabad 500 030, IN
4 ICAR-Indian Institute of Oilseeds Research, Rajendranagar, Hyderabad 500 030, IN

Abstract

Malnutrition affects over one billion people worldwide and thus one out of six humans is malnourished. Though the green revolution solved the problem of malnutrition to the great extent, people living in developing and under-developed countries still face micronutrient malnutrition, which is a result of imbalanced diet and intake of insufficient micronutrients. Iron and zinc deficiencies together contributing to loss to GDP is at least US$ 5 billion in China and India alone.

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P. Sathies Kumar ¹, K. Gangadhar ², M. Bharathi Devi ³, M. Siva Parvathi ⁴

Affiliations
1 Department of Mathematics, Raghava Degree College, Ongole, Andhra Pradesh -523001, IN
2 Department of Mathematics, Acharya Nagarjuna University, Ongole, Andhra Pradesh -523001, IN
3 Department of Mathematics, Rise Krishna sai group of Institutions, Vallur, Andhra Pradesh -523001, IN
4 Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirulpati-517502, Andhra Pradesh, IN

Abstract

This paper investigated a numerical solution to an electrically conducting micropolar fluid with two dimensional boundary layer flow over a permeable stretching surface with heat flux. By concerning the viscous dissipation and non-Darcy porous medium, the slip velocity is also found. This is the extension of the previous study on MHD flow and heat transfer of a micropolar fluid over a stretching surface with heat generation (absorption) and slip velocity (Mahmoud and Waheed, Journal of the Egyptian Mathematical Society (2012) 20, 20–27). The governing equations are transformed into a system of non-linear ordinary differential equations by using the similarity transformations. Analytically these differential equations cannot be solved as they are highly non-linear. But they are solved numerically with the fourth order Runge-Kutta Gill procedure together with the shooting technique. For different values of governing parameters, namely, material parameter, magnetic parameter, slip parameter, Darcy number, Forchheimer number, Prandtl number and Eckert number, the numerical results are found for the velocity, angular velocity and temperature profiles as well as the skin-friction coefficient, the couple wall stress and the local Nusselt number.

Keywords

Micropolar Fluid, MHD, Slip Velocity, Non-Darcy Porous Medium, Viscous Dissipation.

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