Davangere University

About: Davangere University is a education organization based out in Davangere, India. It is known for research contribution in the topics: Nanofluid & Heat transfer. The organization has 236 authors who have published 413 publications receiving 3673 citations.

New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function

Abstract: In this paper, numerical solution of the mathematical model describing the deathly disease in pregnant women with fractional order is investigated with the help of q-homotopy analysis transform method (q-HATM). This sophisticated and important model is consisted of a system of four equations, which illustrate a deathly disease spreading pregnant women called Lassa hemorrhagic fever disease. The fixed point theorem is considered so as to demonstrate the existence and uniqueness of the obtained numerical solution for the governing fractional model. The proposed method is also included the Laplace transform technique with q-homotopy analysis scheme, and fractional derivative defined with Atangana-Baleanu (AB) operator. In order to illustrate and validate the efficiency of the future technique, the projected model in the sense of fractional order is also considered. Moreover, the physical behaviors of the obtained numerical results are presented in terms of simulations for diverse fractional order.

Radiative heat transfer of second grade nanofluid flow past a porous flat surface: a single-phase mathematical model

Abstract: The current study explores the nanofluid flow and heat transfer properties by exposing it to a slippery surface. The effect of radiation, heat source, porous medium, and viscous dissipation are also comprised in this analysis. The arising partial differential equations from boundary layer equations of the second grade nanoliquid model are reformed into non-linear ordinary differential equations using suitable transformations. The solution of these equations is then cracked by means of shooting numerical scheme. In this investigation, we used two different types of nanoparticles, Alumina (Al2O3) and Copper (Cu), along with a non-Newtonian Engine Oil (EO) as based liquid. The valuable finding of this scrutiny is that the comparative heat transference rate of Cu-EO second grade nanofluids gradually more increases as compared to Al2O3-EO nanofluids. Results reveal that, the parameters have a massive effect on the heat transfer very close to the wall and are slightly away from the wall. The escalation in nanoparticle volume fraction and second grade parameters declines the velocity profile.