Numerical Treatment and Global Error Estimation of Natural Convective Effects on Gliding Motion of Bacteria on a Power-Law Nanoslime Through a Non-Darcy Porous Medium

The motion of non-Newtonian fluid with heat and mass transfer through porous medium past a shrinking plate is discussed. The fluid obeys Casion model, heat generation, viscous dissipation, thermal diffusion and chemical reaction are taken in our considered. The motion is modulated mathematically by a system of non liner partial differential equations which describe the continuity, momentum, heat and mass equations. These system of non linear equations are transformed into ordinary differential equations by using a suitable transformations. These equations are solved numerically by using Mathematica package. The numerical distributions of the velocity, temperature and concentration are obtained as a functions of the physical parameters of the problem. Moreover the effects of these parameters on these solutions are discussed numerically and illustrated graphically through some figures. It is clear that these parameters play an important role to control the velocity, temperature and concentration of the fluid motion. It's found that the fluid velocity deceases with the increasing of electric parameter while it increases as the magnetic hartman parameter increases, these results is good agreament with the physical sitution. Also, the fluid temperature decreases and increases as the Prandtl number and Eckert number increases respeictively. At least the fluid concentration decreases with both of soret and schimdt numbers.

show abstract

“…The results which are obtained in Fig. (2), are in agreement with those which are presented by Abou-zeid et al [25,26]. Fig.…”

Section: Concentration Equationsupporting

confidence: 92%

Electromagnetic steady motion of Casson fluid with heat and mass transfer through porous medium past a shrinking surface

et al. 2021

Self Cite

View full text Add to dashboard Cite

show abstract

“…(36)-(38) along the appropriate boundary conditions (39) and (40). Therefore, modified Newton-Raphson iteration method continues until convergence is achieved [3] and [22]. Now, Nusselt number may be defined:…”

Section: Numerical Solutionmentioning

confidence: 99%

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

et al. 2020

View full text Add to dashboard Cite

In the current paper, the peristaltic transport of a non-Newtonian fluid obeying a Casson model with heat and mass transfer inside a vertical circular cylinder is studied. The considered system is affected by a strong horizontal uniform magnetic field together with the heat radiation and the Hall current. The problem is modulated mathematically by a system of PDE that describe the basic behavior of the fluid motion. The boundary value problem is analytically solved with the appropriate boundary conditions in accordance with the special case, in the absence of the Eckert number. The solutions are obtained in terms of the modified Bessel function of the first kind. Again, in the general case, the system is solved by means of the homotopy perturbation and then numerically through the Runge-Kutta Merson with a shooting technique. A comparison is done between these two methods. Therefore, the velocity, temperature and concentration distributions are obtained. A set of diagrams are plotted to illustrate the influence of the various physical parameters in the forgoing distributions. Finally, the trapping phenomenon is also discussed.

show abstract

“…Several authors [20][21][22][23] have analytically solved the problem of non-Newtonian nanofluids in various aspects using the homotopy analysis method (HAM). Abou-Zeid et al [24] examined the impact of viscous dispersion on the mixed convection of gliding motion of bacteria on power-law nanofluids through a nonDarcy porous medium. The influence of nonuniform heat source/sink with the Brownian motion and thermophoresis on non-Newtonian nanofluids over a cone was illustrated by Raju et al [25].…”

Section: Introductionmentioning

confidence: 99%

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Afify

2017

Mathematical Problems in Engineering

View full text Add to dashboard Cite

The impacts of multiple slips with viscous dissipation on the boundary layer flow and heat transfer of a non-Newtonian nanofluid over a stretching surface have been investigated numerically. The Casson fluid model is applied to characterize the non-Newtonian fluid behavior. Physical mechanisms responsible for Brownian motion and thermophoresis with chemical reaction are accounted for in the model. The governing nonlinear boundary layer equations through appropriate transformations are reduced into a set of nonlinear ordinary differential equations, which are solved numerically using a shooting method with fourth-order Runge-Kutta integration scheme. Comparisons of the numerical method with the existing results in the literature are made and an excellent agreement is obtained. The heat transfer rate is enhanced with generative chemical reaction and concentration slip parameter, whereas the reverse trend is observed with destructive chemical reaction and thermal slip parameter. It is also noticed that the mass transfer rate is boosted with destructive chemical reaction and thermal slip parameter. Further, the opposite influence is found with generative chemical reaction and concentration slip parameter.

show abstract

Numerical Treatment and Global Error Estimation of Natural Convective Effects on Gliding Motion of Bacteria on a Power-Law Nanoslime Through a Non-Darcy Porous Medium

Cited by 18 publications

References 0 publications

Electromagnetic steady motion of Casson fluid with heat and mass transfer through porous medium past a shrinking surface

Electromagnetic steady motion of Casson fluid with heat and mass transfer through porous medium past a shrinking surface

Effects of hall currents with heat and mass transfer on the peristaltic transport of a Casson fluid through a porous medium in a vertical circular cylinder

The Influence of Slip Boundary Condition on Casson Nanofluid Flow over a Stretching Sheet in the Presence of Viscous Dissipation and Chemical Reaction

Contact Info

Product

Resources

About