The thermophysical properties of the nanofluids override the physical properties of conventional fluids due to the high thermal conductivity of the nanoparticles. The applications of nanofluids have ...varied use in the era of bio-engineering and thermal sciences. Moreover, the nanoparticles attributed the significances in human blood arteries. Therefore, the present analysis manifests with the free convection of electrically conducting nanofluid embedding with resistive forces such that the magnetic field and permeability of the medium. The augmentation in the heat transfer properties is obtained because of the inclusion of radiative heat energy and absorption diffusion. Moreover, the nanoparticles volume fraction is focused with implementation of chemical reaction. Numerical treatment using the code in-build MATLAB code pdepeis employed for the transformed unsteady flow problem. The graphical computations against flow parameters are worked with justified physical importance. A declining change in nanoparticles is examined due to Prandtl number which is more progressive for steady case. The decreasing change in velocity is more dominant for nanoparticles as compared to pure fluid. The nanoparticles concentration reduces for effective variation of chemical reaction constant and Lewis number.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
The present analysis reveals the impact of porous medium and mixed convection nano-fluid flow near an exponentially curved surface. For this purpose alumina is treated as nano-particles along with ...two base fluids such as H2O and C2H6O2. Under different assumptions the mathematical model of energy and momentum equations are developed by using curvilinear coordinates. The PDEs are transformed into non-linear differential equations by using similarity transformation variables. The table of skin friction and Nusselt number are drawn by fluctuating the values of different parameters for both fluids. Moreover, the numerical solutions are generated in MATLAB by using Bvp4c. Influence of effective and without effective Pr numbers for an incompressible γAl2O3−C2H6O2 and γAl2O3−H2O are investigated. We observe that the velocity profile increases for increasing values of curvature, mixed convection and volume fraction of nanoparticles for two different cases effective and with-out effective Prandtl numbers. Moreover, in case of effective Pr number, the temperature profile decreases but for with-out effective Pr number temperature profile increases. Furthermore, the graphs are drawn to check the behavior various parameters for effective and with-out effective Pr numbers.
•Viscous fluid flow near a vertical curved surface are investigated.•Viscosity at initial steady state is constant considered.•Mixed convection and porous medium are considered momentum equations.•Heat generation is considered energy equation.•Alumina particles are considered due to their high conductivity.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
The purpose of this article is to explore simultaneous impact of dust and nano particles on thermal performance of yield stress exhibiting fluid (Casson fluid) through numerical simulations. ...Therefore, for mathematical formulation, conservation laws for dust and fluid phases with yield stress constitutive equation for Casson fluid are used. No slip theory is applied for the development of boundary conditions. Eventually, complex system of PDEs with suitable conditions is obtained. This complex system is formulated in a suitable finite element computational environment. Simulations are executed to investigate heat transfer enhancement mechanism in both mono and hybrid nanofluids suspended with Fe 3 O 4 − TiO 2 (hybrid nanoparticles) in the presence of dust impurities. Furthermore, it is observed that the diffusion of momentum depends on the yielding stress. However, this yield stress phenomenon in hybrid nanofluid is less significant than in the mono-nanofluid. It is also noticed that a rise in magnetic field can force the motion of dusty fluid to slow down. However, this slowing down mechanism in mono-nanofluid is more significant than in hybrid nanofluid. The temperature of dust particles for both mono and hybrid nanofluids has an increasing tendency when fluid interaction parameter is increased. However, the temperature of the hybrid nano dusty fluid is greater than the temperature of the mono nano dusty fluid.
Non-Fourier thermal and solutal transport in non-Newtonian power law rheological fluid is model via conservations laws under boundary layer approximations. The correlations for thermo-physical ...properties of pure, power law fluid and hybrid nano-structures are solved numerically with approximated conservations laws. The finite element method (FEM) is used for simulations purpose. The convergence is ensured and mesh-free analysis is performed. Iterative processes are done under computational tolerance 10−5. Relaxation phenomenon plays a significant role in controlling thermal and solutal boundary layer thickness. The impact of Joule heating can be minimized via thermal relaxation time. The impact of heat generation of temperature is similar to the impact of constructive chemical reaction on solutal transport.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
The significance of the present investigation is to explore the impacts of the Hall current and variable traits of thermal conductivity and the mass diffusion instead of the constant on a ...three-dimensional (3D) Darcy–Forchheimer–Casson nanofluid flow past a deformable rotating disk extendable in the radial direction. However, the motion of the flow is induced owing to the rotation and deformation of the disk. The process of heat transfer is inspected in the presence of the Cattaneo–Christov heat and mass fluxes, thermal radiation, and the activation energy amalgamated with chemical reaction added to witness the effect on the mass transfer. The novelty of the model is enhanced with the additional effects of momentum slip and convective boundary conditions. On utilizing the Von Karmann similarity variable, the formulated problem is transformed into ordinary differential equations. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The upshot of sundry parameters versus involved profiles is deliberated graphically. It is perceived that on escalating the Brownian motion and temperature-dependent thermal conductivity, the temperature field escalates. The velocity field in radial and azimuthal direction decays for up surging the Casson fluid and magnetic parameters. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.
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•Fe3O4-Go/water nanoparticles flowing in a moving thin needle is investigated theoretically.•Effects of activation energy, chemical reaction, Hall effect are incorporated.•Comparison ...of nanofluid and hybrid nanofluid is examined.•Concentration of the hybrid nanoliquid ascends with the rise in the values of activation parameter.•The velocity of the hybrid nanofluid enhances for increased values of Hall parameter.
The consequence of Hall current on hybrid nanofluid flow by incorporating Arrhenius activation energy is examined in this study. The hybrid nanoliquid is formed by dispersing magnetite (Fe3O4) and graphene oxide (Go) nanoparticles in base liquid water (H2O). The framed partial differential equations are converted into ordinary differential equations by applying similarity variables and these reduced equations are numerically solved with the aid of fourth and fifth order Runge-Kutta-Fehlberg (RKF45) method. The impact of several involved dimensionles parameters on velocity, thermal and concentration profiles are incorporated and discussed in detaile by using suitable graphs. It is perceived that, larger values of Hall parameter increases the velocity profile. The rise in values of activation energy parameter accelerates the concentration profile. Further it is noted that drag force and mass transfer rate is decreased for higher solid volume fraction but reverse behaviour is observed in heat transfer rate.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
With ultra-high thermal significances, the nano-materials present some fundamental applications in many thermal engineering eras, mechanical and chemical engineering and modern technology. For ...sustainable development of industrial growth of a country, the enhancement in energy production and resources become one of the most fundamental challenges for scientists. This analysis presents the thermal aspects of dust nanoparticles in a dusty nano-material for the interaction of transverse magnetic field come across an expanding surface. The conjunction of Maxwell model thermal conductivity influences the characteristic of thermal properties that is helpful to enrich the heat transport phenomena. A mathematical model is prepared by considering metal nano-material (copper and silver) in association with the conventional fluid water. The numerical treatment is deployed for the solution of the complex nonlinear problem characterized by dust phase material and fluid transformed governing equations. The transport of heat energy is affected by the transient behavior of the volume fraction, dust particle number density in conjunction with magnetic field. However, the key features of the outcomes for the characterizing parameters are lubricated through graphs and simulated numerical values for the rate coefficients are presented in table that leads to the validation work with the earlier investigation. An increment in heat transfer rate is noted with suspension of copper nanoparticles in the dusty fluid while heat transfer reduces in case of silver nanoparticles. The nanoparticles temperature enhanced with interaction parameter and specific heat ratio. The current analysis has a greater impact in bio-medical since i.e. the blood flow within the artery as well as several industrial and engineering applications. All these aspects depend upon the nanoparticles particle size therefore the dust and nanoparticles proposed here are spherical.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
This analysis addresses the impact of heat generation and MHD on nanofluid flow near a nonlinear curved surface. For an inclusive and representative analysis most common fluids like ethylene glycol ...and water are chosen as base fluids and alumina particles are treated as nanoparticles. The alumina particles are considered due to their high conductivity. The mathematical model of nanofluid flow under different assumptions are generated using curvilinear coordinates which gives set of ordinary differential equations. Computational analysis is performed by using “Bvp4c” on computational software MATLAB. It is found that the velocity profile increases by increasing the values of curvature parameter, power law index and volume fraction of nanoparticles for two cases without and with effective of Pr numbers. Moreover, the base flow temperature decreases for effective Pr number corresponding to both nanofluids while an opposite behaviour occurs for without effective Prandtl number. Furthermore, the graphs are drawn for velocity and temperature for two different cases (with and without effective Prandtl numbers).
•Viscous fluid flow near the non-linear curve surface are investigated.•Viscosity at initial steady state is constant considered.•Heat generation is considered energy equation.•Alumina particles are considered due to their high conductivity.•Relationship between kinematic viscosity and intermolecular force is described.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
In this paper, the authors presented the effects of space voids and electrical conductivity on the flow of a pseudoplastic (Rabinowitsch) fluid analyzed in a curved two-dimensional plane geometry. ...The walls of the channel are considered to develop the peristaltic waves along its length. The problem is manipulated under the observations of long wavelength and low Reynolds number approximations. The motion is assumed to be steady by transforming it in a wave frame traveling with the speed of wave. Analytical hybrid perturbation techniques have been incorporated to handle the complicated coupled differential equations. It is found that the results are well in agreement with the existing literature as a special case, evocating the validity of the study. Expressions of velocity, pressure gradient, and stream function have been invoked graphically. It is concluded from the results that porous medium and magnetic field suggest opposite variations of velocity and trapping circulating contours are stretching with magnetic field and contracting with increasing voids.
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EMUNI, FIS, FZAB, GEOZS, GIS, IJS, IMTLJ, KILJ, KISLJ, MFDPS, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, SBMB, SBNM, UKNU, UL, UM, UPUK, VKSCE, ZAGLJ
In this paper we consider a nonlinear heat equation with nonlinearities of variable-exponent type. We show that any solution with nontrivial initial datum blows up in finite time. We also give a ...two-dimension numerical example to illustrate our result.
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GEOZS, IJS, IMTLJ, KILJ, KISLJ, NLZOH, NUK, OILJ, PNG, SAZU, SBCE, SBJE, UILJ, UL, UM, UPCLJ, UPUK, ZAGLJ, ZRSKP
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