Casson Nanoliquid Research Articles

Significance of convective Nield's conditions on radiative Casson nanomaterial flow over a bidirectional stretching surface with Arrhenius energy

Attracted by innumerable uses of non-linear nanoscience in renewable energy and pollution cleaning, we articulate a precise model for the unsteady bidirectional flow of Casson nanoliquid, impinging over a deformable surface with a magnetic environment. Aspects of non-linear thermal radiation and Arrhenius energy are accounted for through a two-phase nanofluid model. Moreover, the additional features of Nield’s condition, prescribed surface temperature, convective heating and binary chemical reaction are also used to make the current continuation quite versatile. The modeled problem has been distracted into dimensionless form by combining suitable variables. The numerical solution has been developed to implement the Keller-Box approach with the desired accuracy. The results are analysed through various graphs and tables with physical interpretation. It is scrutinised through the present exploration that the intensifying choices of Biot factor, temperature ratio, and radiation factor augment the distributions of temperature plus concentration, whereas the opposite trend is achieved with the escalation in the choices of heat distribution indices. In view of obtained computations, it seems that the stated results can be used to improve heat and energy resources.

Numerical analysis of Casson nanofluid three-dimensional flow over a rotating frame exposed to a prescribed heat flux with viscous heating

This study investigates heat transfer characteristics and three-dimensional flow of non-Newtonian Casson nanofluid over a linearly stretching flat surface in the rotating frame of a reference. The current model includes the Buongiorno nanofluid model comprises nanoparticles’ haphazard motion and thermo-migration. It also considered mechanisms for viscous heating and constant heat flux at the boundary. The nonlinear partial differential system modeling includes the non-Newtonian Casson fluid model and the boundary layer approximation. The system governing equations were nondimensionalized and numerically solved. A parametric study was conducted to analyze the significance of dimensionless parameters on velocities, the concentration, temperatures, Nusselt number, friction factors, and Sherwood number. The study reveals that the Casson nanoliquid temperature enhanced significantly due to the mechanisms of haphazard motion and thermo-migration. The momentum layer thickness of nano Casson fluid reduced due to the rotation phenomenon while the thermal layer structure amended notably. In the absence of rotation, there is no transverse velocity. The thermal layer structure is enhanced owing to the viscous heating process. The intense haphazard motion and thermo-migration mechanisms lead to maximum heat transfer rate at the plate. In addition, results show that the Coriolis force strength elevation shows similar axial and transverse velocities behavior. In addition, the nanoparticle concentration is observed higher due to the rotation aspect and Casson fluid parameter. Furthermore, the Casson fluid factor decreases with velocities, but the trend is the opposite for the high Casson fluid factor. The thermal and solute layer thickness growth is due to the nanoparticles’ thermo-diffusion. In conclusion, the larger rotation factor increases the friction factors. The maximum plate heat transfer rate is when higher Nb and Nt are higher.

Effect of thermal radiation on heat transfer in plane wall jet flow of Casson nanofluid with suction subject to a slip boundary condition

A Glauert type laminar wall jet issuing into a stationary liquid medium lying above a wall has technical uses in wall cooling and flow control. It plays a vital role in industrial applications like cooling/heating by impingement of jet, turbine blades, film cooling, mass and heat transfer phenomena. In this regard, a steady incompressible two-dimensional laminar Glauert kind wall jet is scrutinized in this study by considering nanoparticles suspension in the base liquid sodium alginate with suction and wall slip boundary conditions. Further, a comparative study is done by considering aluminum alloy and single-walled carbon nanotube as nanoparticles. The reduced ordinary differential equations (ODEs) are numerically solved by applying Runge–Kutta–Fehlberg fourth fifth-order (RKF-45) technique along with the shooting method. Results reveal that Casson nanofluid shows enhanced heat transfer than Casson nanoliquid for increased values of radiation parameter. The rising values of the Casson parameter deteriorate the heat transfer rate of both nanoliquids but an inverse trend is seen for improved values of radiation parameter.

Bioconvection Casson nanoliquid film sprayed on a stretching cylinder in the portfolio of homogeneous‐heterogeneous chemical reactions

AbstractIn chemical engineering, the materials that is drawn or stretched continuously its surface velocity initially increases with distance from the orifice. The extruded material is also simultaneously cooled to provide solidification through a water bath or spraying with a coolant. Due to such applications and others, the present study concerns with the film deposition of Casson nanoliquid heat and mass transfer bioconvection flow with homogeneous‐heterogeneous chemical reactions, entropy generation, thermal radiation and magnetic dipole effects. The mechanical system has been proposed by the governing equations and boundary conditions which are simplified by the use of suitable similarity transformations. Homotopy analysis method is applied to obtain the series solution of non‐linear ordinary differential equations. Physical behaviors of heat and mass transfer flow with entropy generation and spray rate are investigated through the embedded parameters. Velocity is decreased with Casson nanofluid, ferromagnetic, porosity and inertial parameters while temperature is increased with thermal radiation, ferromagnetic, porosity and inertial parameters. Concentration of chemical reaction is increased with Schmidt and Reynolds numbers as well as heterogeneous chemical reaction parameter while motile microorganisms concentration is decreased with bioconvection Lewis, Peclet, and Reynolds numbers. Entropy generation is increased with thermal radiation, diffusivity and porosity parameters while spray rate is decreased with high values of film size.

Effect of Chemical Reaction towards MHD Marginal Layer Movement of Casson Nanofluid through Porous Media above a Moving Plate with an Adaptable Thickness

In the current workflow and heat exchange of a Casson nanoliquid across a penetrable media above a moving plate with variable thermal conductivity, adaptive thickness and chemical reaction are analyzed. First, the governing nonlinear equations of partial derivative terms with proper extreme conditions are changed into equations of ordinary derivative terms with suitable similarity conversions. Then the resulting equations are worked out using the Keller box method. The effects of various appropriate parameters are analyzed by constructing the visual representations of velocity, thermal, and fluid concentration. The velocity profile increased for shape parameter, and the opposite trend is observed for magnetic, Casson, porosity parameters. Temperature profile increases for magnetic, Casson, Brownian motion parameter, and thermophoresis parameters. Concentration profiles show a decreasing trend for wall thickness, Brownian movement, chemical reaction parameters. Also, skin friction values and calculated and matched with previous literature found in accordance. Also, local parameters Nusselt and Sherwood numbers are calculated and analyzed in detail.

Entropy analysis of nonlinear radiative Casson nanofluid transport over an electromagnetic actuator with temperature-dependent properties

This paper examines the transport of nonlinear radiative Casson nanoliquid past a vertical electromagnetic actuator with temperature-dependent transport properties and entropy analysis. The model incorporates the Grinberg-term containing the influence of Lorentz force impinged by the actuator and the impact of the thermo-migration and Brownian motion of nanoparticles. The main equations are translated into non-dimensional forms via appropriate dimensionless variables and then solved using Chebyshev collocation method and verified by Galerkin type of weighted residual method and existing studies found in literature. From the study, the reactions of the embedded physical quantities of interest on the fields of velocity, temperature, nanoparticles concentration and entropy generation number are communicated graphically and deliberated upon. The implications of the results are that the modified Hartmann number aids the fluid flow as the Richardson number boosts the hydrodynamic boundary layer thickness whereas the converse occurs with Casson fluid material parameter. Also, the entropy generation is enhanced in the existence of viscous dissipation and suction while it declines with thermophoretic influence. Conclusively, it is found that the rate of entropy generation can be reduced by augmenting the magnitudes of the thermophoresis and Brownian motion parameters.

Influence of Thermophoretic Particle Deposition on the 3D Flow of Sodium Alginate-Based Casson Nanofluid over a Stretching Sheet.

The wide range of industrial applications of flow across moving or static solid surfaces has aroused the curiosity of researchers. In order to generate a more exact estimate of flow and heat transfer properties, three-dimensional modelling must be addressed. This plays a vital role in metalworking operations, producing plastic and rubber films, and the continuous cooling of fibre. In view of the above scope, an incompressible, laminar three-dimensional flow of a Casson nanoliquid in the occurrence of thermophoretic particle deposition over a non-linearly extending sheet is examined. To convert the collection of partial differential equations into ordinary differential equations, the governing equations are framed with sufficient assumptions, and appropriate similarity transformations are employed. The reduced equations are solved by implementing Runge Kutta Fehlberg 4th 5th order technique with the aid of a shooting scheme. The numerical results are obtained for linear and non-linear cases, and graphs are drawn for various dimensionless constraints. The present study shows that improvement in the Casson parameter values will diminish the axial velocities, but improvement is seen in thermal distribution. The escalation in the thermophoretic parameter will decline the concentration profiles. The rate of mass transfer, surface drag force will reduce with the improved values of the power law index. The non-linear stretching case shows greater impact in all of the profiles compared to the linear stretching case.

A comparative study on heat transfer characterization of sodium alginate-based carbon nanotubes in a non-Newtonian fluid flow using a new local thermal nonequilibrium formulation

The current study elucidates the mass and heat transfer characteristics of Casson nanofluid flow over a stretching sheet in a porous medium (PM) subject to a lack of local thermal equilibrium (LTNE). The LTNE model is based on the energy balance of both solid and fluid phases. Hence, distinctive thermal profiles for both the fluid and solid phases are employed in this study. Further, owing to exceptional high intrinsic conductance performance, Carbon nanotubes (CNT’s) show great potential to increase the thermal conductivity. In this connection, CNT’s (single and multi-wall) are considered as suspended nanoparticles in the base fluid sodium alginate (SA). The equations of modeled physical problem are reduced by using a proper transformation, which are then numerically tackled by using the classical Runge-Kutta (RK) process with the shooting technique. The impact of the flow parameters on the thermal, concentration and velocity profiles along with skin friction, Nusselt and Sherwood numbers is explored and interpreted graphically. The results reveal that, SWCNT-sodium alginate Casson nanoliquid show improved heat transfer for growing values of porosity parameter. The fluid and solid phase thermal profiles of MWCNT-sodium alginate Casson nanoliquid is strongly stimulated by growing values of porosity-modified conductivity ratio parameter.

Soret and Dufour effects on a Casson nanofluid flow past a deformable cylinder with variable characteristics and Arrhenius activation energy

In this study, the effects of variable characteristics amalgamated with chemical reaction and Arrhenius activation energy are analyzed on a two-dimensional (2D) electrically conducting radiative Casson nanoliquid flow past a deformable cylinder embedded in a porous medium. The surface of the cylinder is deformable in the radial direction i.e., the z-axis. The impression of Soret and Dufour's effects boosts the transmission of heat and mass. The flow is analyzed numerically with the combined impacts of momentum slip, convective heat, and mass conditions. A numerical solution for the system of the differential equations is attained by employing the bvp4c function in MATLAB. The dimensionless protuberant parameters are graphically illustrated and discussed for the involved profiles. It is perceived that on escalating the velocity slip parameter and porosity parameter velocity field depreciates. Also, on escalating the radiation parameter and heat transfer Biot number a prominent difference is noticed in an upsurge of the thermal field. For growing values of Brownian motion and thermophoretic parameters, temperature field augments. On escalating the curvature parameter and porosity parameter, drag force coefficient upsurges. The outcome of the Soret number, mass transfer Biot number, and activation energy parameter is quite eminent on the concentration distribution for the sheet in comparison to the deformable cylinder. A comparative analysis of the present investigation with an already published work is also added to substantiate the envisioned problem.

Bioconvection in Magneto Hydrodynamics Casson Nanoliquid (Fe3O4-Sodium Alginate) With Gyrotactic Microorganisms Over an Exponential Stretching Sheet

The present investigation focuses on the influence of motile gyrotactic microorganisms and thermal heat flux on three-dimensional convective flow of a Casson nanoliquid over an elongated surface. The flow equations are modelled by using Tiwari-Das nanofluid model. Sodium alginate (SA) is considered as the base fluid together with Ferromagnetic oxide (Fe3O4) nanoparticles. The governing flow equations are changed into a system of ODEs with the aid of similarity variables and are then addressed computationally. Influence of various pertinent parameters on different physical quantities is examined graphically. The outcomes of present investigation is validated through comparison study and is found to be in good arrangement. It is noticed that the coefficient of heat transfer rises with growing radiation and Biot numbers. Also the mass transfer coefficient surges for higher values of Schmidt number and generative chemical reaction parameter.

Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy

Bio-Marangoni convection flow of Casson nanoliquid through a porous medium in the presence of chemically reactive activation energy

Casson nanoliquid flow with Cattaneo-Christov flux analysis over a curved stretching/shrinking channel

In this study we investigated double diffusional Catteneo-Christov heat flux model to understand mass and heat transfer of liquid mix Casson nanofluid discharged over a curved shrinking/stretching channel. To govern such flow, a evenly charged force is applied in the vertical direction to the flow stream. Intensities of thermal and concentration fluxes are monitored by involving relaxations in Fourier's law. In the midst of mathematical modelling of our envisaged flow problem, we established a structure of complex partial differential equations embedded with sundry parameters. Using variable conversion procedure in vogue, these equations are transformed into simpler version of order differential equations. Numerical simulation is completed through MATLAB solver bvp4c by setting the default tolerance. The solver is applied recursively to achieve the desired accuracy in picking the best blend of the assorted parameters we entrenched in the system. We noticed thermal and concentration relaxations caused the temperature and concentration profiles to reduce, but thermophoresis enhances both fluxes. Casson and magnetic indicator parameters are responsible for slowing down the speed of the flow in case of stretching channels, moreover, adding amounts of these parameters produced less skin friction. Stretching/Shrinking and curvature of the bent channel played significant roles in behavioral modifications of various profiles and are therefore useful for future course of action.

Marangoni Convective Flow of GO-kerosene- and GO-water-based Casson Nanoliquid Toward a Penetrable Riga Surface

Marangoni Convective Flow of GO-kerosene- and GO-water-based Casson Nanoliquid Toward a Penetrable Riga Surface

Bio-convective Darcy-Forchheimer periodically accelerated flow of non-Newtonian nanofluid with Cattaneo–Christov and Prandtl effective approach

The thermal applications of nanofluids significantly improved the heat and mass transfer pattern which convey necessary role in many engineering and industrial zones. The consideration of nanofluids contributes many dynamic applications in the solar energy and thermal engineering problems. Moreover, the stability of nanofluids is enhanced perfectively with motile microorganisms which have applications in petroleum sciences, biofuels, bio-engineering, bio-medical, enzymes etc. This research determines the applications of bio-convection in Casson nanoliquid flow subject to the variable thermal conductivity and inertial forces. The Cattaneo–Christov relations are treated to modify the heat and concentration equations. The accelerated surface with sinusoidal type velocity induced the flow. The flow problem is formulated in terms of partial differential equations. The homotopic scheme is followed in order to suggest the analytical relations. After highlighting the convergence region, the graphical simulations with help of MATHEMAITCA are performed. The physical output is addressed in view of all flow parameters. The 3-D behavior of velocity, temperature, concentration and microorganisms is also addressed.

Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction

The current article explores the impact of magnetic effect on the Casson nanoliquid flow over a curved stretching sheet with the influence of chemical reaction. Further, the heat and mass transference characteristics are analyzed by means of Brownian motion, exponential heat source and thermophoresis effects. Governing equations of the described flow problem are transformed into ordinary differential equations by means of similarity variables. These reduced equations are numerically solved by Runge-Kutta-Fehlberg fourth-fifth (RKF 45) order scheme with shooting method. Results reveal that, the escalating values of curvature parameter improves the velocity gradient whereas, converse trend is detected in thermal gradient.

MHD Casson non-Newtonian nanofluid over a nonlinear penetrable elongated sheet with thermal radiation and chemical reaction

Consider a steady flow in two-dimensional of a viscous, incompressible Casson nano liquid over a nonlinear penetrable elongated sheet with radiation and chemical reaction. The Casson liquid rheological model is used to explain the non-Newtonian liquid attributes. Similarity variables are utilized to evaluate the governing flow model into set of nonlinear total differential equations. The outcomes of the flow equations were gotten by using Runge-Kutta alongside the shooting techniques. In other to explain the physics of the problem, impact of flow parameters are presented in graphs while computations on engineering curiosity are presented in table. Ahike in the Casson liquid term is observed to degenerate the fluid velocity alongside the momentum layer thickness. The impact of the imposed magnetic is felt by decreasing the velocity owning to the Lorentz force.

Effects of Cattaneo–Christov heat flux analysis on heat and mass transport of Casson nanoliquid past an accelerating penetrable plate with thermal radiation and Soret–Dufour mechanism

AbstractIn this analysis, the effect of Catteneo–Christov model on heat alongside mass transport magnetohydrodynamics of a Casson nanoliquid with thermal radiation and Soret–Dufour mechanism is considered. The fluid flow is considered through porous media as the thermophysical attributes such as viscosity along with thermal conductivity are considered to be constant. Suitable similarity transformations were employed on the governing coupled flow equation to yield total differential equations (ODE). An accurate and newly developed spectral method called spectral homotopy analysis method (SHAM) was employed to provide solution to the simplified equations. The numerical method of homotopy analysis method (HAM) is SHAM. SHAM portrays the division of nonlinear equations into linear as well as nonlinear parts. The findings in this study show that an increment in the Casson parameter is seen to elevate the velocity plot at the wall and lessen the velocity far away from the plate. An increase in the Brownian motion and thermophoresis term is observed to speed up the local skin friction coefficient.

Inquiry of MHD bioconvective non-newtonian nanofluid flow over a moving wedge using HPM

In this present article, the influence of MHD flow of a non-Newtonian Casson nanoliquid conveying gyrotactic microorganisms over a moving wedge with thermal radiation, thermophoresis and Brownian motion are reported. The basis boundary layer equations of momentum, energy, nanoparticle concentration and density of motile microorganisms, which are nonlinear PDE’s, are transformed into a nonlinear ODE’s through a set of similarity variables. The renovated equations are solved analytically using the Homotopy Perturbation Method (HPM). The analytical results are validated with the numerical results using shooting method also compared with available literature as a limiting case. The impact of salient parameters of the Casson nanoliquid are illustrated with several graphs and tables.

Insight into the dynamics of magneto-casson hybrid nanoliquid caused by a plate rotation

PurposeThis paper aims to present the analytical investigation on an unsteady magneto-convective rotation of an electrically conducting non-Newtonian Casson hybrid nanoliquid past a vertical porous plate. The effects of thermal radiation, heat source/sink and hydrodynamic slip phenomenon are also taken into account. Ethylene glycol (EG) is adopted as a base Casson fluid. The Casson fluid model is accounted for to describe the rheological characteristics of non-Newtonian fluid. EG with copper and alumina nanoparticles is envisaged as a non-Newtonian Casson hybrid nanoliquid. The copper-alumina-ethylene glycol hybrid nanoliquid is considered as the regenerative coolant.Design/methodology/approachThe perturbation method is implemented to develop the analytical solution of the modeled equations. Acquired solutions are used to calculate the shear stresses and the rate of heat transfer in terms of amplitudes and phase angles. Numerical results are figured out and tabled to inspect the physical insights of various emerging parameters on the pertinent flow characteristics.FindingsThis exploration discloses that the velocity profiles are strongly diminished by the slip parameter. Centrifugal and Coriolis forces caused by the plate rotation are found to significantly change the entire flow regime. The supplementation of nanoparticles is to lessen the amplitude of the heat transfer rate. A comparative study is carried out to understand the improvement of heat transfer characteristics of Casson hybrid nanoliquid and Casson nanoliquid. However, the Casson hybrid nanoliquid exhibits a lower rate of heat transfer than the usual Casson nanoliquid.Practical implicationsThis proposed model would be pertinent in oceanography, meteorology, atmospheric science, power engineering, power and propulsion generation, solar energy transformation, thermoelectric and sensing material processing, tumbler in polymer manufacturing, etc. Motivated by such practical implications, the proposed study has been unfolded.Originality/valueThe novelty of this paper is to examine the simultaneous effects of the magnetic field, Coriolis force, suction/injection, slip condition and thermal radiation on non-Newtonian Casson hybrid nanoliquid flow past an oscillating vertical plate subject to periodically heating in a rotating frame of reference. A numerical comparison is also made with the existing published results under some limiting cases and it is found that the results are in good agreement with them. An in-depth review of the literature and the author’s best understanding find that such aspects of the problem have so far remained unexplored.

WITHDRAWN: MHD boundary layer flow of a Casson nano liquid over a penetrable linearly stretching sheet with frictional heating effects in Brinkmann-Forcheiemerr porous medium

Abstract This exploration comprises the predicament of 2D Casson nano liquid motion, neighbouring to boundary stratum, through Brinkmann-Forcheiemerr porous medium above a rectilinear stretching sheet. A specific computational explanation to boundary value problem concerning to nonlinear PDE’s recounting liquid motion, thermic transfer and mass convey, are derived by RK-Fehlberg method. The impact of an array of several parametric quantities on liquid motion, thermic transfer, and mass convey are probed. The impost reconnoitres the disparity of diverse liquid motion, thermic and mass, parametric quantities, induces notable thought on the compartment, of liquid, hotness and mass conveys variables are reconnoitred by way of plots.