DR. VIVEK KUMAR SINHA
@sbsscollegebegusarai.com
ASSISTANT PROFESSOR, DEPARTMENT OF MATHEMATICS
Lalit Narayan Mithila University, Darbhanga
RESEARCH, TEACHING, or OTHER INTERESTS
Applied Mathematics, Numerical Analysis, Mathematical Physics, Computational Mathematics
Scopus Publications
Scopus Publications
Prashu, Raj Nandkeolyar, Premful Kumar, Vivek Kumar Sinha, and Vivek Sangwan
Hindawi Limited
The phenomenon of heat transfer is prevalent in industries and has an extensive range of applications. However, mostly the discussion of heat transfer problems is limited to the study of the first law of thermodynamics, which deals with energy conservation. It is just restricted to the quantity of energy, not to its quality; i.e., there is no difference between the work (high-grade energy) and the heat (low-grade energy). A measurement of the degree of randomness of energy in a system is known as entropy. It is unavailable for doing useful work because work takes place only from ordered molecular motion. Even though many boundary layer models exist in the literature to investigate the flow and heat transfer of various fluids along a stretching surface, they have not yet been used at their maximum ability. The main motive of the current research is to discuss entropy generation or its minimization during heat transfer. This work presents an entropy generation analysis for the transient three-dimensional stagnation point flow of a hydromagnetic Casson fluid flowing over a stretching surface in the existence of Hall current, viscous dissipation, and nonlinear radiation. The physical configuration of the present work is described in terms of partial differential equations (PDEs) of nonlinear nature. Furthermore, these PDEs are converted into ordinary differential equations by using some relevant similarity transformations. An efficient numerical method named as the spectral quasilinearization method (SQLM) is used to solve this model. The expression of the Bejan number and volumetric entropy generation rate is also computed. A parametric analysis, including the essential physical parameters, is performed to examine the influences of distinct flow parameters on the velocity profile, temperature profile, Bejan number, entropy generation number, and the coefficients of skin friction and the Nusselt number. In order to further insight into the emerging physical quantities of engineering interest, multiple quadratic regression models are used to estimate the coefficients of skin friction and heat transfer.
G. S. Seth, B. Kumar, R. Nandkeolyar, and V. K. Sinha
Springer Science and Business Media LLC
V K Sinha, B Kumar, G S Seth, and R Nandkeolyar
Springer Science and Business Media LLC
V. K. Sinha, B. Kumar, G. S. Seth, and R. Nandkeolyar
AIP Publishing
In the current analysis, we analyze the steady magnetohydrodynamic (MHD) micropolar nanofluid stagnation point flow adjacent to a stretching surface. The heat transfer characteristics within the flow field are influenced by radiative as well as dissipa- tive effects. The mathematical model consists of coupled partial differential equations which are transformed into similarity form by implementing similarity transformation. The spectral method based linearization technique, known as successive linearization technique, is utilized to obtain a numerical solution of the governing equations. The profiles of velocity, concentration, angular ve- locity, and temperature are obtained and discussed for their variation with respect to the non-dimensional flow parameters such as magnetic parameter, material parameter, and radiation parameter. Regression analysis is also performed on local Nusselt number, and it suggests that the effect of Eckert number is dominant on local Nusselt number in comparison to radiation parameter.
Publications
Scopus Author ID: 57216353715