The effect of computational processing of temperature‐ and concentration‐dependent parameters on non‐Newtonian fluid MHD: Applications of numerical methods

Abstract

This investigation aims to introduce a new solution with aid of numerical methods to the blood flow of Carreau-Yasuda fluid through a microvessel. Swimming of gyrotactic microorganisms with nanoparticles is considered. A resulting system of partial differential equations is simplified by the meaning of low Reynolds number and long wavelength. This system of partial differential equations was formulated and transformed mathematically using new theories of differential transform method. Variable nonndimensional physical parameters effects, such as numbers of bioconvection Peclet and bioconvection Rayleigh, and so forth on velocity, temperature, and concentration distribution as well as oxytactic microorganism and oxygen concentration profiles are studied. All results are constructed in two cases of viscosity on the same figure, one of them in the case of variable parameters and the other in constant parameters. The existing study assured that the microorganism density in the direction near to the hypoxic tumor tissues regions grows with a rise in oxygen concentrations and the blood viscosity diminutions.

Influence of variable velocity slip condition and activation energy on MHD peristaltic flow of Prandtl nanofluid through a non-uniform channel

“…The fluid model of the high non-linear differential Eqs. ( 12 – 15 ) nominated overhead is converted with GDTM as in 52 – 55 , and then the recurrence relations can gain the series solutions of velocity, temperature, concentration, and volume fraction solutions. Accordingly, results/graphs are calculated for distributions of flow velocity, temperature, concentration, and nanoparticle fraction versus different values of a physical parameter of interest:…”

“…This current analytical study displayed a new generalization to the differential transform method to get a better solution to Prandtl nanofluid model. Several researchers studied this method, see 54 , 55 .…”

Technical computations for dependent shear rate effect on magnetized peristaltic transport of synovia with two fluid viscosity models: Arthritis treatments

“…Nanofluids are worked as drug delivery processes for joints to cure the negatively charged cartilage 8 . Nanofluids are defined/studied by many investigators, medicines, and mathematicians as they have applications in drug delivery, 9 refinements of extracted oils 10 cancer diagnosis, 11 and food industries processes, 12 and so forth 13–19 …”

Arrhenius energy effect on the rotating flow of Casson nanofluid with convective conditions and velocity slip effects: Semi‐numerical calculations

“…In early times, Odibat et al 31 studied nonchaotic or chaotic systems by using a new modified technique called the multistep differential transform algorithm. Furthermore, a large number of investigations have proven the effectiveness of the DTM and its modification techniques 32–39 . To the abovementioned studies, the essential role of the proposed paper is to introduce a new model of boundary layer flow of Casson fluid with Arrhenius activation energy and solar radiation effects.…”

“…Furthermore, a large number of investigations have proven the effectiveness of the DTM and its modification techniques. [32][33][34][35][36][37][38][39] To the abovementioned studies, the essential role of the proposed paper is to introduce a new model of boundary layer flow of Casson fluid with Arrhenius activation energy and solar radiation effects. To make a compilation of novelty through this paper, the solution is computed semi-numerically by using GDTM.…”