Approximate analytical solutions to nonlinear peristaltic flow with temperature-dependent viscosity parameters: Application of multi-step differential transform method (MsDTM)

Elogail, M.A.; ElShekhipy, A. A.

doi:10.1139/cjp-2017-0070

Cited by 9 publications

(5 citation statements)

References 38 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since viscosity is assumed to vary across the flow, then these mentioned parameters will vary, too. Ignoring such phenomena will lead to unrealistic results [28].…”

Section: Variable Non-dimensional Parametersmentioning

confidence: 99%

“…Therefore, from the above discussions, we conclude that the CP-Model case leads to unrealistic results, whereas the VP-Model shows real outcomes. Discussion on Some Previous Works Elogail and Elshekipy [28] caught sight of the necessity of treating the non-dimensional parameters that rely on viscosity in their definitions in the set of governing equations to be variables too. Consequently, this extra step has modified the set of governing equations (as in the VP-Model).…”

Section: Cp-model Versus Vp-modelmentioning

confidence: 99%

“…In these studies, the authors did not recognize that the non-dimensional parameters defined in terms of viscosity should be considered variables. Recently, Elogail and Elshekhipy [28] investigated the effect of temperature-dependent viscosity on the peristaltic flow in two different cases. In the first case, the authors treated the non-dimensional parameters that depend on viscosity in the non-dimensional governing equations as constants inspired by previously analogous works in the literature.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Elogail

Mekheimer

2020

Symmetry

View full text Add to dashboard Cite

This work’s primary purpose is to implement a numerical study that simulates blood flow through a microvessel involving oxytactic microorganisms and nanoparticles. The oxytactic microorganisms exhibit negative chemotaxis to gradients of oxygen (oxygen repellents). These microorganisms are to batter infected hypoxic tumor cells as drug-carriers. The viscosity of blood is to vary with temperature, shear-thinning, and nanoparticle concentration. We have formulated a mathematical model then simplified it under assumptions of long wavelength and low Reynold’s number. The resulting non-linear coupled differential equation system is solved numerically with the MATHEMATICA software aid using the built-in command (ParametricNDSolve). This study treated all non-dimensional parameters defined in terms of viscosity to be variables (VP-Model), unlike some previous literature attempts that have considered these parameters mentioned above as constants (CP-Model). The achieved results assured the reliability of the (VP-Model) over the (CP-Model). Our results reveal that temperature and microorganism density increase with the thermophoresis parameter. The impact of increasing the Brownian motion parameter is to increase temperature and lessen microorganism density. Outcomes also indicate an enhancement in the microorganism density towards the hypoxic tumor regions located aside the microvessel walls by boosting oxygen concentrations in the streamflow. The current study is believed to provide further opportunities to improve drug-carrier applications in hypoxic tumor regions by better recognizing the flow features, heat, and mass transfer in such zones.

show abstract

“…Since viscosity is assumed to vary across the flow, then these mentioned parameters will vary, too. Ignoring such phenomena will lead to unrealistic results [28].…”

Section: Variable Non-dimensional Parametersmentioning

confidence: 99%

Section: Cp-model Versus Vp-modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Elogail

Mekheimer

2020

Symmetry

View full text Add to dashboard Cite

show abstract

“…The condition presented in eq. (7) of Reference (p. 4) is wrong and its correct form is as follows

a_{1}^{2} + b_{1}^{2} + 2 a_{1} b_{1} \cos ϕ \leq {(d_{1} + d_{2})}^{2} .

For more details see References …”

Section: Problem Modelingmentioning

confidence: 98%

Letter to the editor regarding “Hall current effect on the peristaltic motion of synovial nanofluid with magnetohydrodynamics” by Wahed M. Hasona

Mekheimer

2019

Heat Trans. Asian Res.

View full text Add to dashboard Cite

show abstract

“…19,20 After considering the abovementioned studies, the vital role of this study is to present an original model for the influence of thermal radiation and temperature-dependent viscosity on peristaltic pumping of nanofluid models. It is worth mentioning that Elogail and ElShekhipy 29 have introduced the idea of the variable nondimensional parameters in a base fluid in peristaltic transport of a Newtonian fluid. We develop that idea in nanofluid models with a non-Newtonian fluid flow in a tapered asymmetric channel.…”

Section: Introductionmentioning

confidence: 99%

Mutual effects of chemical reaction and thermal radiation on MHD peristaltic transport of Jeffrey nanofluids: Tumor tissues treatment

Asfour

2021

Heat Trans

View full text Add to dashboard Cite

As thermal radiation is one of the fundamental means of heat transfer, therefore, this study analyzes the impacts of thermal radiation and magnetic field on the peristaltic transport of a Jeffrey nanofluid in a nonuniform asymmetric channel. Further, Two models of viscosity are debated: Model (I), in which all parameters dependent on viscosity behave as a constant (as treated before in nanofluid research); Model (II), in which these known parameters are considered to vary with the temperature of the flow. Under the condition of long wavelength and low Reynolds number, the problem is rearranged. The resulting system of partial differential equations (PNE) is solved with aid of Mathematica 11. Furthermore, the streamline graphs are presented by significance of trapping bolus phenomenon. To emphasize the quality of solutions, comparisons between the previous results and recent published results by Reddy et al. have been made and signified. The comparisons are shown in Table 1 and are found to be in good agreement. As the thermal radiation increases, the diameter of nanoparticles rises (thermal radiation is a diminishing function of temperature, and with a decrease in the temperature, the diameter of the nanoparticles increases, that is, the size of nanoparticles increases and they become more active near malignant tumor tissues). Therefore, its work as agents for radiation remedy, produce limited radiation quantities, and selectively target malignant tumor for controlled mutilation (radiotherapy of oncology). Such a model is appropriate for the transportation of physiological flows in the arteries with heat and mass transfer (blood flow models).

show abstract

Approximate analytical solutions to nonlinear peristaltic flow with temperature-dependent viscosity parameters: Application of multi-step differential transform method (MsDTM)

Cited by 9 publications

References 38 publications

Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Modulated Viscosity-Dependent Parameters for MHD Blood Flow in Microvessels Containing Oxytactic Microorganisms and Nanoparticles

Letter to the editor regarding “Hall current effect on the peristaltic motion of synovial nanofluid with magnetohydrodynamics” by Wahed M. Hasona

Mutual effects of chemical reaction and thermal radiation on MHD peristaltic transport of Jeffrey nanofluids: Tumor tissues treatment

Contact Info

Product

Resources

About