Mathematical model for thermal and entropy analysis of thermal solar collectors by using Maxwell nanofluids with slip conditions, thermal radiation and variable thermal conductivity

Aziz, Arshad; Jamshed, Wasim; Aziz, Taha

doi:10.1515/phys-2018-0020

Cited by 60 publications

(20 citation statements)

References 43 publications

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“…Latterly, Alsarraf et al [19] explored the nanoparticles shape effect (brick, blade, cylindrical, platelet and spherical) on the boehmite alumina nanofluid flow characteristics. There are also a few boundary layer studies that modeled the non-Newtonian fluid as the operating fluid with the presence of nanoparticles as reported by Mahmood et al [20], Aziz and Jamshed [21], Jamshed and Aziz [22] and Aziz et al [23].…”

Section: Introductionmentioning

confidence: 99%

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

et al. 2019

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The present study emphasizes the combined effects of double stratification and buoyancy forces on nanofluid flow past a shrinking/stretching surface. A permeable sheet is used to give way for possible wall fluid suction while the magnetic field is imposed normal to the sheet. The governing boundary layer with non-Fourier energy equations (partial differential equations (PDEs)) are converted into a set of nonlinear ordinary differential equations (ODEs) using similarity transformations. The approximate relative error between present results (using the boundary value problem with fourth order accuracy (bvp4c) function) and previous studies in few limiting cases is sufficiently small (0% to 0.3694%). Numerical solutions are graphically displayed for several physical parameters namely suction, magnetic, thermal relaxation, thermal and solutal stratifications on the velocity, temperature and nanoparticles volume fraction profiles. The non-Fourier energy equation gives a different estimation of heat and mass transfer rates as compared to the classical energy equation. The heat transfer rate approximately elevates 5.83% to 12.13% when the thermal relaxation parameter is added for both shrinking and stretching cases. Adversely, the mass transfer rate declines within the range of 1.02% to 2.42%. It is also evident in the present work that the augmentation of suitable wall mass suction will generate dual solutions. The existence of two solutions (first and second) are noticed in all the profiles as well as the local skin friction, Nusselt number and Sherwood number graphs within the considerable range of parameters. The implementation of stability analysis asserts that the first solution is the real solution.

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Section: Introductionmentioning

confidence: 99%

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

et al. 2019

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“…Hence, we can see that an increase in the slip parameter reduces the flow velocity significantly. This is a common phenomenon in flows with the Navier slip and has been discussed at length in the literature [5,10,22]. We can see the impact of the dimensionless Weissenberg number on the Poiseuille and Couette flows from Figs.…”

Section: Discussionmentioning

confidence: 62%

Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

Tlau

2020

ACM

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The presented research article deals with the classical fundamental flows (Poiseuille and Couette) of an incompressible hyperbolic tangent fluid while considering the Navier slip at the walls. The governing equations are solved using the homotopy analysis method. The velocity expressions are obtained for each problem and the effect of the flow parameters are discussed while being supplemented by graphical displays. Increasing the slip parameter reduces the fluid velocity for both problems, respectively. An increase in the Weissenberg number shows that skin friction at the lower wall reduces. This shows that a dominant elastic force is crucial in reducing the skin friction.

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“…Similarity transformations that convert the governing partial differential equations into ordinary differential equations modified BVP formulas (2)- (6). Stream function (ψ) can be defined as [24]:…”

Section: Dimensionless Formulations Modelmentioning

confidence: 99%

Entropy Optimization of First-Grade Viscoelastic Nanofluid Flow over a Stretching Sheet by Using Classical Keller-Box Scheme

2021

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Nanofluids have better surface stability, thermal absorption, and distribution capacities are produced as heat transfer fluids. In current nanofluid-transport studies, together with the heat transfer mechanisms, entropy reduction in thermo- and non-Newtonian nanofluid models with changing thermophysical characteristics is heavily addressed. The entropy production is examined as thermodynamically stable first-grade viscoelastic nanofluid (FGVNF) flow over a flat penetrable, porous barrier. The uniform porous horizontal stretching of the surface in a Darcy type of pore media results in a fluid motion disturbance. In addition, this study also includes the effects of thermal radiation, viscous dissipation, and slip conditions at the border. Under boundary layer flow and Rosseland approximations, the governing mathematical equations defining the physical features of the FGVNF flow and heat transfer models are summarized. The governing nonlinear partial differential equation is transformed by similarity variables to achieve solutions in nonlinear ordinary differential equations. Approximative solutions for reduced ordinary differential equations are obtained by the Keller Box Scheme. Two distinct types of nanofluids, Copper-Engine Oil (Cu-EO) and Zirconium Dioxide-Engine Oil (ZrO2-EO), are considered in this research. The graphs are produced to examine the effects of the different physical factors for the speed, temperature, and entropy distributions. The significant findings of this study are that the critical characteristics of (boundary layer) BL collectively promote temperature variation, including slip speed, diverse thermal conductivity, and non-Newtonian first-grade viscoelastic nanofluid, the concentration of nanoparticles as well as thermal radiation, and a high porous media. The other noteworthy observation of this study demonstrates that the (Cu-EO) FGVNF is a better conductor than (ZrO2-EO) FGVNF transmission. The entropy of the system grows the Deborah number and volume fraction parameter.

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Mathematical model for thermal and entropy analysis of thermal solar collectors by using Maxwell nanofluids with slip conditions, thermal radiation and variable thermal conductivity

Cited by 60 publications

References 43 publications

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

Dual Stratified Nanofluid Flow Past a Permeable Shrinking/Stretching Sheet Using a Non-Fourier Energy Model

Fundamental flow problems considering non-Newtonian hyperbolic tangent fluid with Navier slip: Homotopy analysis method

Entropy Optimization of First-Grade Viscoelastic Nanofluid Flow over a Stretching Sheet by Using Classical Keller-Box Scheme

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