Browsing by Author "Nagaraju, K. R."

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Citation Count: Mahabaleshwar, U. S...et al. (2017). "An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet", Continuum Mechanics and Thermodynamics, Vol. 29, no. 2, pp. 559-567.
An exact analytical solution of the unsteady magnetohydrodynamics nonlinear dynamics of laminar boundary layer due to an impulsively linear stretching sheet
(2017) Mahabaleshwar, U. S.; Nagaraju, K. R.; Kumar, P. N. Vinay; Baleanu, Dumitru; Lorenzini, Giulio; 56389
In this paper, we investigate the theoretical analysis for the unsteady magnetohydrodynamic laminar boundary layer flow due to impulsively stretching sheet. The third-order highly nonlinear partial differential equation modeling the unsteady boundary layer flow brought on by an impulsively stretching flat sheet was solved by applying Adomian decomposition method and Pade approximants. The exact analytical solution so obtained is in terms of rapidly converging power series and each of the variants are easily computable. Variations in parameters such as mass transfer (suction/injection) and Chandrasekhar number on the velocity are observed by plotting the graphs. This particular problem is technically sound and has got applications in expulsion process and related process in fluid dynamics problems.
Citation Count: Mahabaleshwar, U.S...et al. (2020). "An Mhd Viscous Liquid Stagnation Point Flow and Heat Transfer With Thermal Radiation and Transpiration",Thermal Science and Engineering Progress, Vol. 16.
An Mhd Viscous Liquid Stagnation Point Flow and Heat Transfer With Thermal Radiation and Transpiration
(Elsevier LTD., 2020) Mahabaleshwar, U. S.; Nagaraju, K. R.; Vinay Kumar, P. N.; Nadagoud, M. N.; Bennacer, R.; Baleanu, Dumitru; 56389
The impact of kinematic parameters magnetohydrodynamic (MHD) and thermal radiation on the unsteady flow of a Newtonian liquid through stagnation point due to a linear sheet with mass transpiration is considered. The characteristics of heat and MHD impinging on the sheet are analyzed theoretically. The flow of an electrically conducting liquid through stagnation point has gained considerable interest due to its industrial relevance. In the chemical engineering applications involving cooling of the liquid namely glass blowing, food processing, metal thinning, polymer extrusion, silicon chip manufacturing and applications of similar kind. In all these chemical engineering applications, the interplay between the regulating kinematic parameters and the nature of the fluid is of at most priority. The flow problem is modelled into nonlinear unsteady Navier-Stokes’ partial differential equations. The similarity solution for the velocity distribution is obtained. Depending on the type of boundary heating, the analytical solutions for temperature distribution is derived by means of a power series (Gauss hypergeometric). Temperature distribution for two types of boundary heating processes viz., prescribed time-dependent constant surface temperature (PTDCST) and prescribed time-dependent wall heat flux (PTDWHF) is discussed. There found to exist branching of solutions for both velocity and temperature distribution for certain range of controlling parameters. In fact there exists dual solution for both cases of stretching/shrinking sheet and these are analyzed to see the impacts of various physical parameters on the solution domain. The impact of various regulating parameters on the velocity as well as temperature is analyzed by means of numerous plots.
Citation Count: Mahabaleshwar, U. S...et al. (2020). "Mass transpiration on Newtonian flow over a porous stretching/shrinking sheet with slip", Chinese Journal of Physics, Vol. 63, pp. 130-137.
Mass transpiration on Newtonian flow over a porous stretching/shrinking sheet with slip
(2020) Mahabaleshwar, U. S.; Nagaraju, K. R.; Sheremet, M. A.; Baleanu, Dumitru; Lorenzini, E.; 56389
The motivation behind this article is to research the Newtonian liquid flow porous stretching/ shrinking sheet utilizing a Brinkman model. The leading system of non-linear partial differential equations relating the article is mapped to standard ordinary differential equations via similarity transformations. Exact result is obtained for velocity. The effects of the Brinkman number or viscosity ratio, slip parameter, Darcy number, suction/injection (mass transpiration) parameter and the mass suction parameter on the velocity dispersion are introduced graphically and talked about. The outcomes have conceivable innovative applications in extrusion process and such other unified zones and in the fluid based frameworks including stretchable materials. Examination of fluid flow past a permeable stretching/shrinking sheet embedded in a non-Darcy permeable medium has been performed for a wide scope of various parameters. Exact solution has been obtained.