A numerical study is performed to explore the effects on heat convection and entropy gthe eneration due to porous stratum and heated block in an enclosure saturated with micropolar hybrid nanofluid. Constant heat flux through half of the length of the square enclosure is centrally placed at the bottom wall and the top wall is isothermally cooled while vertical walls are insulated. The Cu-Al 2 O 3 /water hybrid nanofluid is considered a micropolar fluid (MF) with constant physical properties. The Boussinesq approximation is implemented on the density variation and convection within the porous layer is regulated with the Darcy-Brinkman model. The governing nondimensional equations are solved with the finite difference method (FDM). Effects of various key parameters on isotherms, streamlines, local Nusselt number, and average Nusselt number are discussed numerically and analyzed through graphs. The entropy generation analysis (EGA) has been done with local and average Bejan numbers, local entropy generation, and entropy generation numbers. The heat convection from the heat flux enhances with the increase in the volume fraction of the hybrid nanoparticles (ϕ hnf ), Rayleigh number (Ra), and Darcy's number (Da) while
In this study, natural convection through a micropolar hybrid nanofluid in a complex annulus, influenced by a static magnetic field and discrete heaters on the boundaries of the annulus has been investigated numerically. The annulus is formed using an elliptical cylinder enclosed by a square cylinder. Numerical
The objective of this work is to study Ɓ-types of contraction mappings in the settings of partial metric space and establish fixed point results. As a result, a fixed point theorem has been established for a pair of Ɓ-type contraction mappings with a unique common fixed point. The study's main findings, in particular, expand and extend a fixed point theorem first proposed by Bijender et. al. in 2021.
Recently, in 2021, Bijender et al. proposed the establishment of -contraction. Such sort of contraction is a genuine generalization of the standard contraction in the study of metric fixed point theory. The aim of the present study is the establishment of the novel concept of the fuzzy B-type contraction in the settings of fuzzy metric space and such contractions are also used to establish a few fixed point theorems.
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