Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions

Hayat, Tasawar; Riaz, Rubina; Aziz, Arsalan; Alsaedi, Ahmed

doi:10.1016/j.physa.2019.124006

Cited by 112 publications

(37 citation statements)

References 58 publications

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“…Mohamad et al [24] studied mixed convection of unstable noncoaxial viscous fluid rotational flow past an accelerated vertical disk. e effect of binary chemical reactions and activation energy on 3rd-grade hydromagnetic nanofluid streams combined with convective boundary layers was evaluated by Hayat et al [25]. Iskender et al [26] analyzed the steady flow of nanomaterials with melting heat phenomenon.…”

Section: Introductionmentioning

confidence: 99%

Magneto-Burgers Nanofluid Stratified Flow with Swimming Motile Microorganisms and Dual Variables Conductivity Configured by a Stretching Cylinder/Plate

Waqas

Manzoor

Shah

et al. 2021

Mathematical Problems in Engineering

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Background. The study of nanofluid gains interest of researchers because of its uses in treatment of cancer, wound treatment, fuel reserves, and elevating the particles in the bloodstream to a tumour. This artefact investigates the magnetohydrodynamic flow of Burgers nanofluid with the interaction of nonlinear thermal radiation, activation energy, and motile microorganisms across a stretching cylinder. Method. The developed partial differential equations (PDEs) are transformed into a structure of ODEs with the help of similarity transformation. The extracted problem is rectified numerically by using the bvp4c program in computational software MATLAB. The novelty of analysis lies in the fact that the impacts of bioconvection with magnetic effects on Burgers nanofluid are taken into account. Moreover, the behaviours of thermal conductivity and diffusivity are discussed in detail. The impacts of activation energy and motile microorganism are also explored. No work has been published yet in the literature survey according to the authors’ knowledge. The current observation is the extension of Khan et al.’s work [51]. Results. The consequences of the relevant parameters, namely, thermophoresis parameter, Brownian motion parameter, the reaction parameter, temperature difference parameter, activation energy, bioconvection Lewis number and Peclet number against the velocity of Burgers nanofluid, temperature profile for nanoliquid, the concentration of nanoparticles, and microorganisms field, have been explored in depth. The reports had major impacts in the development of medications for the treatment of arterial diseases including atherosclerosis without any need for surgery, which may reduce spending on cardiovascular and postsurgical problems in patients. Conclusions. The current investigation depicts that fluid velocity increases for uplifting values of mixed convection parameter. Furthermore, it is analyzed that flow of fluid is risen by varying the amount of Burgers fluid parameter. The temperature distribution is escalated by escalating the values of temperature ratio parameter and thermal conductivity parameter. The concentration field turns down for elevated values of Lewis number and Brownian motion parameter, while conflicting circumstances are observed for the thermophoresis parameter and solutal Biot number. Larger values of Peclet number reduce the microorganism’s field. Physically the current model is more significant in the field of applied mathematics. Furthermore, the current model is more helpful to improve the thermal conductivity of base fluids and heat transfer rate.

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Section: Introductionmentioning

confidence: 99%

Magneto-Burgers Nanofluid Stratified Flow with Swimming Motile Microorganisms and Dual Variables Conductivity Configured by a Stretching Cylinder/Plate

Waqas

Manzoor

Shah

et al. 2021

Mathematical Problems in Engineering

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“…The stagnation point flow of a cross‐nanoliquid toward a stretching surface and its behavior under the effects of activation energy and chemical reaction were discussed by Khan et al 31 Muhammad et al 32 did a numerical investigation on entropy generation in mixed convective Darcy–Forchheimer flow over a curved surface. Hayat et al 33 addressed the influence of chemical reaction and activation energy on a third‐grade nanofluid flow past a convectively heated stretching surface.…”

Section: Introductionmentioning

confidence: 99%

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

2021

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We often encounter many processes where the cooling rate is a key factor in deciding the features of a desired product. Due to increasing demands of controlled cooling systems, an effort is made to theoretically study the effect of volume fraction on mixed convective Cu–water nanofluid flow over a stretching surface with activation energy and thermal radiation. The nonlinear dynamical system is simplified using apt similarity variables and the obtained ordinary differential equations are dealt numerically using Runge–Kutta–Fehlberg method and shooting scheme. The thermal and solutal equations are modeled considering Cattaneo–Christov double‐diffusion model. The flow problem is studied considering velocity slip and zero mass flux state at the surface. As a novelty, the present case considers the blowing effect at the surface to study massive species transport during nanofluid flow with Cattaneo–Christov double‐diffusion model. The results show that an increase in strength of thermal radiation increases temperature and buoyancy ratio parameter, thereby escalating the skin friction coefficient. When thermal relaxation parameter changes from 0.001 to 0.005, heat transfer coefficient improves by 24.36%. Furthermore, with the change in value of the blowing parameter from 0.1 to 0.1015, the maximum value concentration of nanoparticles that is attained during the flow is increased by 7.15%.

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“…Activation energy in MHD squeezed flow with binary chemical reactions was studied by Ahmad et al [20]. Hayat et al [21] investigated magnetohydrodynamics third grade nanoliquid convective flow by nonlinear stretched plate. Partial slip in MHD nanoliquid flow with viscous dissipation near stagnation point was investigated by Emad et al [22].…”

Section: Introductionmentioning

confidence: 99%

Effects of Varying Viscosity and Mixed Convection on Nanotubes-water Flow With Reactions by a Stretching Cylinder: a Comparative Study

Hussain¹,

Hayat²,

Alsaedi³

2021

Preprint

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The addressed work explains SWCNT (Single walled carbon nanotubnes) and MWCNT (Multi walled carbon nanotubnes) nanofluid flow under the influences of temperature dependent viscosity and mixed convection. Comparative study of SWCN-T and MWCNT suspended in base liquid is presented. Further heat and mass transfer are addressed for nanofluid effected by radiation, heat generation/absorption and diffusion species. Mathematical development of problem is taken in cylindrical coordinates. System of highly nonlinear differential equations are constructed via appropriate transformations. The system of equations are tackled numerically by bvp4c MATLAB solver. The findings of the study show that volume fraction contributes to decline the fluid flow by cylindrical shaped nanoparticles. In addition, fluid flow decelerates via curvature and magnetic parameters while it boots by Grashof number and volume fraction. Further more, temperature dependent viscosity variable corresponds to decrease the temperature close to the surface and it develops away from the surface. The temperature advances in MWCNT-liquid than SWCNT-liquid. Volume fraction and magnetic parameters correspond to skin friction coefficient enhancement. Heat transfer rate increases for larger curvature and heat generation parameters and reverse trend holds against radiation parameter.

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Influence of Arrhenius activation energy in MHD flow of third grade nanofluid over a nonlinear stretching surface with convective heat and mass conditions

Cited by 112 publications

References 58 publications

Magneto-Burgers Nanofluid Stratified Flow with Swimming Motile Microorganisms and Dual Variables Conductivity Configured by a Stretching Cylinder/Plate

Magneto-Burgers Nanofluid Stratified Flow with Swimming Motile Microorganisms and Dual Variables Conductivity Configured by a Stretching Cylinder/Plate

Cattaneo–Christov double‐diffusion model with Stefan blowing effect on copper–water nanofluid flow over a stretching surface

Effects of Varying Viscosity and Mixed Convection on Nanotubes-water Flow With Reactions by a Stretching Cylinder: a Comparative Study

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