This article deals with the heat transfer in a Walter’s liquid B fluid through a stretching sheet subject to elastic deformation. We have incorporated the combined effects of aligned magnetic field and viscous dissipation. The effect of viscous dissipation regulating the heat transfer is considered. In addition, prescribed power law surface temperature and prescribed power law surface heat flux boundary conditions are introduced. The transformed non-linear coupled governing equations are solved analytically using hyper geometric function. The effects of various embedded pertinent parameters on velocity and temperature profiles are well discussed with the aid of appropriate graphs and tables. Our results are verified with previously published results of some noteworthy researchers. It is found that the augmenting aligned magnetic field strength reduces the flow velocity and the related momentum boundary layer thickness.

An analytical solution is presented for entropy generation on MHD Walter's liquid B fluid over a stretching sheet with elastic deformation. The governing expressions of PDEs are converted into ODEs by suitable transformation which is solved by a hypergeometric function. Plots for velocity, heat transfer, entropy generation and a Bejan number are examined and their behavior is deliberated for several physical parameters. It is noticed that the entropy generation is minimized for an Eckert number and enhanced for an elastic deformation parameter. Moreover, these two parameters on the Bejan number profile have reverse effects.

In this paper, the idea of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy soft ideals, and intuitionistic fuzzy soft a-ideals of B-algebra are introduced with many associated properties interrogated. In connection to the intuitionistic fuzzy soft set theory, translations, extensions, and multiplications of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy ideals, and intuitionistic fuzzy a-ideals are introduced. Interconnected with intuitionistic fuzzy soft translations, intuitionistic fuzzy soft extensions, and intuitionistic fuzzy soft multiplications of intuitionistic fuzzy soft subalgebras, intuitionistic fuzzy soft ideals, and intuitionistic fuzzy soft a-ideals are investigated.

In this paper, the conception of intuitionistic fuzzy translation to anti-intuitionistic fuzzy T-ideals in Subtraction BCK/BCI-algebras is introduced. The ideas of anti-intuitionistic fuzzy extensions andanti-intuitionistic fuzzy multiplications of anti-intuitionistic fuzzy T-ideals with several related propertiesare investigated. Also the relationships between intuitionistic fuzzy translations, intuitionisticfuzzy extensions and intuitionistic fuzzymultiplications of anti-intuitionistic fuzzy T-ideals are investigated.

Present article intends to analyze the Ohmic dissipation effect on Walter’s-B fluid flow through porous medium over a stretching sheet with elastic deformation. Inclined magnetic field effects also considered. With the help of similarity transformations, the nonlinear ODEs are obtained from system of PDEs, and then solved analytically by using the confluent hypergeometric function. Results delineating the flow characteristics are presented through graphs and tables for the effect of various parameters. It is observed that thermal boundary layer enaches with increasing values of magnetic and angle parameters and opposite effect observed from elastic deformation parameter.