Simulations of a fractional rate type nanofluid flow with non-integer Caputo time derivatives

Self Cite

Influence of electric and magnetic fields in a nonlinear viscoelastic flow is studied in this communication. Microscopic description of Joule heating can be seen with the proposed model. Fractional formulation of the problem with Cattaneo-Maxwell model leads to oscillation and relaxation processes that show memory and delay of thermal and diffusing flux. Abrupt change in temperature and concentration in MHD flow can be controlled with this formalism. Time-dependent flow is governed by highly nonlinear fractional differential equations. Finite-element-finite-difference algorithm is used to solve the fractional coupled fields and flow dynamics problem. Remarkable physical parameters are calculated to signify the importance of problem under observation. Modeled problem can be tackled in numerous ways to obtain accurate simulations in polymer and electromagnetic casting industries.

Section: Governing Partial Differential Equationsmentioning

confidence: 99%

“…Nonlinear coupled flow equations are difficult to solve with these techniques. Here, we implemented finitedifference-finite-element scheme for the solution of present non-integer flow field of anomalous rate-type fluid; see [36,37] and references there in.…”

Section: Introductionmentioning

confidence: 99%

Joule heating in magnetic resistive flow with fractional Cattaneo–Maxwell model

Anwar

Rasheed

2018

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“…He noticed that aligned magnetic field normalizes the local Nusselt number; however, the thermal conductivity of water increases for intensifying values of volume fraction of nanoparticles. Additionally, to envision their sufficient performance numerous constitutive interactions have been established for non-Newtonian liquids [33][34][35][36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Impact of homogeneous–heterogeneous reactions and non-Fourier heat flux theory in Oldroyd-B fluid with variable conductivity

Irfan

Khan

2019

This article scrutinizes the influence of chemical reactions on flow of an Oldroyd-B fluid due to stretched cylinder. In vision of non-Fourier heat flux model, the heat transfer phenomenon is scrutinized. This enhanced constitutive model anticipates the time space upper-convected derivative which is recycled to depicting heat conduction mechanism. Additionally, heat transfer scrutiny is considered with the influence of thermal conductivity which is temperature dependent. Apposite conversions are engaged to acquire ODEs which are then deciphered analytically via homotopic approach. To highlight their physical consequences, the graphical portrayal of diverse considerations on velocity, temperature and concentration fields is depicted and conferred. It is scrutinized from this study that all the profiles are higher in the instance of the cylinder as equated to a flat plate. This scrutiny also reported that the thermal relaxation parameter decreases the temperature field while the Schmidt number and homogeneous response parameter display the conflicting performance on concentration field. In addition, an assessment in restrictive instance is also presented in this exploration, which ensures us that our outcomes are more precise.

“…Nanofluid was hosted by Choi [8], and it has been established to deliver resourceful heat transfer associated with conventional liquids. Due to their matchless thermal transportation features numerous exploration assessments have been directed on nanofluids (see [9][10][11][12][13][14][15][16][17][18]). Nourazar et al [19] scrutinized MHD thermal flow scrutiny of nanoliquid done by a porous stretched cylinder.…”

Section: Introductionmentioning

confidence: 99%

Consequence of convective conditions for flow of Oldroyd-B nanofluid by a stretching cylinder

Khan

Irfan

Khan

et al. 2019

As an emergent expertise, there is a serious necessity for enhancing the low thermal conductivity of conventional liquids is to improve proficient heat transfer liquids in numerous solicitations. By diffusing nanometric materials in a certain base liquid, this obligation can be attained and resulting nanoliquid improved the thermal conductivity of the base liquids. Nanofluids are liquid interruptions of nanomaterials, and broad scrutiny has been escorted on nanoliquid solicitations in heat transfer developments. In this exploration, we scrutinize the thermal enactment of nanoliquid movements influenced by stretching cylinder. For this persistence we established a mathematical relation for 2D flows of an Oldroyd-B nanoliquid influenced by a stretched cylinder. The mechanisms of convective heat and mass transport are also deliberated. The utilization of conversion technique yields nonlinear differential structures which are elucidated via homotopic approach. The countless features of the numerous variables on velocity component, nanoliquid temperature and concentration are schemed and conferred graphically as well as in tabular procedure. The presented exploration exposes that the liquid velocity improved for augmenting values of curvature parameter and Deborah number. It is also noted that the thermal Biot number and Brownian motion parameter augment the liquid temperature although it diminishes for Deborah number.