Nanofluid Heat Transfer in Parallel Plates with Variable Magnetic Field

TL;DR

This paper investigates nanofluid heat transfer between parallel plates under a variable magnetic field with uncertain parameters, using a semi-analytical homotopy perturbation method to analyze the effects of uncertainty on system behavior.

Contribution

It introduces an interval-based parametric mapping approach combined with homotopy perturbation to analyze uncertain nanofluid heat transfer problems.

Findings

Velocity, temperature, and concentration profiles are affected by uncertainties.

Sensitivity analysis reveals how uncertain parameters influence the system.

Relations between uncertain parameters and system responses are established.

Abstract

Uncertainties plays an important character in almost every problem which generally not considered and ideal cases are studied. As such, the consequences cost more and need model prediction. In view of these, this paper investigates nanofluid heat transfer problem under a variable magnetic field with uncertain bounded parameters and analyzed effect of uncertainness over the field variables of the system. The variations of velocity, temperature and concentration profiles with the uncertainness for the said problem are reported here. The main challenge one face is the presence of uncertainties make the system complicated to study. So, alternate idea should be developed such that one can overcome the same. Hence, the involved uncertain parameters are considered as intervals and one parametric mapping technique is used for the same. For detail analysis of the said problem a semi analytical method viz. homotopy perturbation method is adapted with the transformation technique. Here, the suction parameter, squeeze number and Hartmann numbers are considered as intervals. Then considering different combinations of these parameters the problem is solved and sensitiveness of the same for the said problem is analysed. Finally, based on the sensitiveness, a relation of between the uncertain parameters with the mentioned system has been established.