Abstract
In the current era of emerging technologies, the desired demand is the outstanding efficiency to be achieved by the virtue of standard design and the selection of constituents. Out of these, a key role is the transmission of heat across the systems, and the enhancement of this transmission is the fundamental requirement to be addressed. An addition of nanoparticles with the selected liquids supported the progress toward the optimum level. For the same goal, here we design and discuss a 2D model of Oldroyd-B nanoliquid regarding the rheological aspects taking the thermophoretic and Brownian moment with the consideration of MHD. In this model, various involved physical quantities remained under discussion including chemical processes, convective heat transportation mechanism and heat source-sink aspects. The mathematical differential model non-dimensionalized using the suitable transformations obeys the fundamental laws. For the purpose of solution for the raised nonlinear ordinary system, we adopted homotopy analysis method-based algorithm, which is proved to be the best available technique for analytic solution. The outcomes are displayed graphically for various dimensionless physical quantities. Our analytical analysis indicates that (F'(eta), g(eta) liquid velocities deteriorate via higher estimation of beta(1) (Deborah number), while h(eta) intensifies Reynolds number, radiation parameter and magnetic parameter. Moreover, nanoliquid temperature rises for larger values of Brownian moment parameter.