Influence Of Various Flow Parameters Research Articles

Cattaneo–Christov double diffusion model for the entropy analysis of a non-Darcian MHD Williamson nanofluid

This research is carried out to observe the fluid flow across a stratified sheet in the presence of non-linear thermal radiation. Through the process of similarity transformations, the partial differential equations (PDEs) governing the flow model are transformed into ordinary differential equations (ODEs), which are then numerically solved using the shooting method. This study comprehensively examines the influence of various flow parameters, including the inertial coefficient, magnetic parameter, Brownian motion parameter, radiation parameter, Prandtl number, thermophoresis parameter, and Brinkman number, on key thermophysical characteristics, such as the skin friction coefficient, and the rates of heat, mass, and entropy generation. Notably, the relative difference in the skin-friction coefficient increases with the Weissenberg number, ranging from approximately 1.8 to 2.5. The results indicate that reducing the Cattaneo–Christov temperature parameter decreases the temperature profile while increasing the concentration profile, whereas entropy generation initially rises with increasing Weissenberg number, but decreases near the surface.

Role of suction/injection on free convective flow in a vertical porous channel with non‐Fourier effects in the presence of periodic boundary

AbstractThe key attention of this work is on the impact of suction/injection on the free convective flow of a viscous fluid passing between two infinite, parallel, vertical and porous plates with non‐Fourier effects. The analysis focuses on a porous channel with boundaries featuring a steady–periodic temperature regime. The governing equations, representing velocity(momentum) and temperature(energy) fields, are well‐stated in dimensional form. Employing a separation technique, the momentum and energy equations are separated into steady and periodic components. On solving, the resulting second‐order ordinary differential equations derived, revealed the expressions for velocity and temperature in dimensionless form. However, the study investigates the influence of various flow parameters used in this work, including suction/injection , heat source/sink , Strouhal number , Prandtl number , and dimensionless relaxation time , on the velocity and temperature distributions. Also not left out is the rate of heat transfer on the flow performance and the skin‐friction coefficient on the plates. The findings are visualized using MATLAB‐generated graphs. An interesting observation found during the course of investigation in that the introduction of suction/injection enhances the flow velocity and fluid temperature within the channel, and they are both seen as declining functions of the Strouhal number, which measures the frequency of periodic heating on the plates. Furthermore, when the suction/injection parameter(s) is being relaxed, this study demonstrates a strong agreement with the findings of Ajibade and Mukhtar.

Parametric optimisation for heat transfer through nanofluid impinging upon a Riga plate: the Taguchi method

The article presents a comprehensive analysis of the flow and heat transfer characteristics of the stagnation point flow of Casson nanofluid towards a Riga plate. The mathematical modelling of the problem is carried out by using Buongiorno's two-phase model for convective heat transport within nanofluids. The solution methodology includes the process of transforming the system of Partial Differential Equations (PDEs) into a set of Ordinary Differential Equations (ODEs) which then solved using a semi-analytical Optimal Homotopy Analysis Method (OHAM). The influence of various flow parameters on the skin friction coefficient ( C f x ) and Nusselt number is presented and analysed graphically. Furthermore, a parametric study for the optimisation of skin friction coefficient and Nusselt number ( N u x ) is performed using the Taguchi analysis along with ANOVA and the multivariate regression analysis. The parametric optimisation reveals that for skin friction coefficient, EMHD parameter is most significant term, whereas Prandtl number is found to be the parameter with the highest influence on the Nusselt number. The findings of the study may have bearings in engineering and industrial applications such as the thermal design of industrial equipment dealing with molten plastics and polymeric liquids.

Entropy generation of thermophysical properties on heat and mass transfer pulsatile flow of non-Newtonian nanofluid

Purpose The purpose of this study is to investigate the effects of entropy generation of some embedded thermophysical properties on heat and mass transfer of pulsatile flow of non-Newtonian nanofluid flows between two porous parallel plates in the presence of Lorentz force are taken into account in this research. Design/methodology/approach The governing partial differential equations (PDEs) were nondimensionalized using suitable nondimensional quantities to transform the PDEs into a system of coupled nonlinear PDEs. The resulting equations are solved using the spectral relaxation method due to the effectiveness and accuracy of the method. The obtained velocity and temperature profiles are used to compute the entropy generation rate and Bejan number. The influence of various flow parameters on the velocity, temperature, entropy generation rate and Bejan number are discussed graphically. Findings The results indicate that the energy losses can be minimized in the system by choosing appropriate values for pertinent parameters; when thermal conductivity is increasing, this leads to the depreciation of entropy generation, and while this increment in thermal conductivity appreciates the Bejan number, the Eckert number on entropy generation and Bejan number, the graph shows that each time of increase in Eckert will lead to rising of entropy generation while this increase shows a reduction in Bejan number. To shed more light, these results were further demonstrated graphically. The current research was very well supported by prior literature works. Originality/value All results are presented graphically, and the results in this article are anticipated to be helpful in the area of engineering.

Statistical analysis of entropy generation on the Maxwell-graphene based nanofluid passing through a squeezing channel

The present research focuses on the analysis of the flow behavior of a Graphene and Ethylene Glycol based nanofluid under the influence of magneto hydrodynamics (MHD) between two parallel plates that are being compressed or moved apart, considering the effect of thermal radiation. The study extensively investigates the system’s energy efficiency through the utilization of the Bejan number. To simplify the governing partial differential equations, a similarity transformation is employed, leading to a set of coupled non-dimensional ordinary differential equations. The numerical solution is obtained using the shooting technique in conjunction with the fourth-order Runge-Kutta method. Additionally, a statistical method is utilized to analyze the quadratic regression estimation of skin friction coefficients and Nusselt numbers, aiming to comprehend the connection between the rate of heat transfer and emerging flow parameters. Furthermore, the study examines the influence of various flow parameters viz. Magnetic field, Deborah number, squeezing parameter, radiation and Eckert number on nanofluid velocity, temperature, entropy generation (quantified by the Bejan number), skin friction coefficient, and heat transfer rate. As a result, this research holds promising applications in the fields of biomedical engineering automobile engineering and lubrication technology.

Computational investigation for silica-molybdenum disulfide/water-based hybrid nanofluid over an exponential stretching sheet with spectral quasi-linearization method

The current research is focused on analyzing gyrotactic microorganisms within a hybridized nanofluid (NF) model by considering magnetohydrodynamics, electroosmosis, and radiation effects. Demarcated flow is mathematically modeled to yield coupled nonlinear partial differential equations, which are consequently transmuted into ordinary differential equations (ODEs) by adopting similarity transformations. The spectral quasilinearization method is used to generate the solutions of the transformed ODEs via MATLAB. The influence of various flow parameters on both mono NF and hybrid NF phases for velocity, thermal, concentration, and density of motile microorganism is depicted using graphs. The convergence and residual errors are demonstrated in tables for various influenced parameters on hybrid NF. Additionally, interested physical quantities like shear stress and rate of thermal diffusion at the wall have been tabulated by varying the controlling parameters. It is concluded from the current analysis that the higher velocities and temperatures are observed in hybrid NF model as compared with the mono NF model. Biot number and Hartmann number enhance the temperature profile. The velocity is an enhancing function of mixed convection parameter and bioconvection Rayleigh constant. NF flow over a stretching sheet finds applications in enhancing heat transfer for efficient cooling systems, such as electronics and solar collectors, as well as improving drug delivery in biomedicine, nanoparticle synthesis, and chemical processes.

MHD flow of a rotating micropolar fluid between two plates by using DTM

The primary purpose of this work is to investigate the influence of a magnetic field on a micropolar fluid, which is rotating between two horizontally arranged parallel plates. A uniform magnetic field acts perpendicularly to the porous plate, which consumes fluid with a steady suction velocity. The obtained higher-order nonlinear partial differential equations (PDEs) are converted into nonlinear ordinary differential equations (ODEs) by using similarity transformation. A semi-analytical methodology has been applied to obtain the result to the problem. The influence of various flow parameters of the flow field like coupling parameter, viscosity parameter, Reynolds number, porosity parameter, rotation parameter and magnetic field parameter has been examined and explained by graphs. A resemblance between the results obtained by solving by the differential transform method (DTM) and the outcomes of the former research works has also been displayed which shows the correctness and efficiency of the used analytical method. The numerical values of the coefficient of skin friction at the lower plate are also displayed in tabular form and compared with the literature.

Linear stability of a contaminated two-layer films flowing down a slippery inclined plane: Parametric study and physical mechanism

A linear stability analysis of isothermal two-layer surfactant-laden films flowing down a slippery inclined plane is carried out, with a focus on the shear mode instabilities. The intention is to extend our previous study [Bhat and Samanta, “Linear stability for surfactant-laden two-layer film flows down a slippery inclined plane,” Chem. Eng. Sci. 220, 115611 (2020)] in the high Reynolds number regime. The stability analysis is performed under the umbrella of the Orr–Sommerfeld-type boundary value problem. The method of energy budget is employed to figure out the proper physical mechanisms responsible for the growth of the shear modes under the influence of various flow parameters. Numerical results reveal that the flow configuration under consideration is susceptible to two distinct shear modes in the high Reynolds number regime. The shear mode associated with the lower fluid layer is stabilized if the viscosity ratio, wall slip, and interfacial surfactant concentration are increased. However, increasing density ratio has a destabilizing impact on the lower-layer shear mode. On the other hand, the shear mode associated with the upper fluid layer is destabilized if the viscosity ratio and interfacial surfactant concentration are increased. However, the density ratio exhibits a non-monotonic impact, but the wall slip exhibits a stabilizing influence on the upper-layer shear mode. The energy budget analysis predicts that the primary energy source terms for the growth of the shear mode instabilities are base shear stresses, which transfer energy to the disturbance through the Reynolds stress term.

Heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface

The present study investigates the rate of heat and mass transfer in MHD Williamson nanofluid flow over an exponentially porous stretching surface subject to the heat generation/absorption and mass suction. The analysis has been carried out for the two different conditions of heat transfer stated as prescribed exponential order surface temperature (PEST) and prescribed exponential order heat flux (PEHF). Moreover, an exterior magnetic field is applied with an inclined angle along the stretched surface. Mathematically, the existing flow problem has been configured in accordance with the fundamental laws of motion and heat transfer. The similarity transformations have been used to transform the governing equations into the nonlinear ordinary differential equations (ODEs). The numerical solution to the resulting nonlinear ODEs with the associated boundary conditions have been obtained with the utilization of bvp4c package in MATLAB. The behavior of the resulting equations of the problem is checked graphically under the influence of various flow parameters which ensures that the rate of heat transfer decreases with the increase of Brownian motion parameter as well as it increases with the increase of thermophoresis parameter. Moreover, the Sherwood number increases with the rising values of the Prandtl number and Lewis number.

Numerical simulation of Electrokinetically Driven Peristaltic Pumping of Silver-Water Nanofluids in an asymmetric microchannel

This article intends to focus on the theoretical and numerical investigation of the peristaltic pumping of water-based silver nanofluid in the presence of electroosmotic forces. The investigation is carried out in an asymmetric microchannel subject to the influence of mixed convection and viscous dissipation. No-slip boundary conditions for velocity, temperature, and nanoparticle volume fraction are imposed on channel walls. The lubrication approach is utilized to simplify the normalized constitutive equations. The distribution of electric potential in the electric double layer is characterized by Poisson-Boltzmann ionic distribution which is further linearized by Debye-Hückel approximation. Nanofluid properties are predicted by a combination of the Buongiorno two-phase mixture model and homogeneous flow model. Additionally, the effective thermal conductivity and dynamic viscosity of silver-water nanofluid are characterized by the Corcione model. Silver nanoparticles of 20nm diameter are utilized in this suspension. The transformed set of nonlinear and coupled equations is numerically executed for axial velocity, temperature, and nanoparticle volume fraction by employing the mathematical software Maple 17. Pumping and trapping phenomena are also investigated. A comparison between the thermal conductivity of nanofluid predicted by the Corcione model and the Maxwell model is further presented. The influence of various flow parameters is outlined through graphical results. It has been observed that the thermal conductivity of silver-water nanofluid enhances with increasing nanoparticle volume fraction and temperature but decreases for larger sized nanoparticles. Moreover, the heat transfer rate rises significantly when smaller silver nanoparticles are suspended in water. Furthermore, the temperature of nanofluid is directly related to the Debye length parameter and the Helmholtz- Smoluchowski velocity parameter.

The combined effect of variable viscosity and variable thermal conductivity on natural convection couette flow

Abstract The present work analyses the combined effects of variable viscosity and thermal conductivity on fluid flow and thermodynamics in a vertical channel. Equations of energy and momentum that describe the flow situation are solved using Homotopy perturbation method. The influence of various flow parameters are presented graphically and discussed. The analysis carried out revealed that fluid temperature and velocity increase with an increase in heat generation and decrease with an increasing heat absorption. Also, fluid velocity decreases with the increase of the viscosity. While both fluid temperature and velocity decrease with an increase in thermal conductivity. The comparison of the present work with Jha and Ajibade [18] shows an excellent agreement when the viscous dissipation, variable viscosity as well as the variable thermal conductivity terms are neglected.

Irreversibility and Thermo-Diffusion Effects on Unsteady Chemically Reactive Slip Flow Between Two Rotating Disks

Abstract This paper aims to investigate the entropy generation in slip flow due to double rotating disks. Heat equation is formulated by considering effects of viscous dissipation, Joule heating and nonlinear thermal radiation. Brownian motion and thermophoresis effects of nanofluid are also discussed. Applied magnetic field is considered to be time dependent. Homogeneous–heterogeneous reactions are also studied. Von Karman transformations are used. Homotopy analysis method is implemented on system of equations for convergent series solutions. Influence of various flow parameters on entropy, Bejan number, velocity, temperature, Nusselt number, and skin friction is discussed through graphs and tables. Axial velocity decays for higher nonlinear mixed convection variable of temperature and velocity slip parameter. Temperature rises for larger thermal slip parameter and thermophoresis parameter. Entropy and Bejan number are increasing for higher estimation of homogeneous reaction parameter and diffusion parameters.

Variable Thermal Conductivity and Thermal Radiation Effect on the Motion of a Micro Polar Fluid over an Upper Surface

The intent of this analysis is to explore the influence of thermal radiation paired with variable thermal conductivity on MHD micropolar fluid flow over an upper surface. The novelty of the present model is to consider the fluid flow along an upper horizontal surface of a paraboloid of revolution (uhspr) with the porous medium. This physical phenomenon is described by a set of coupled non-linear ODEs by using suitable scaling analysis. The ODEs along with the boundary conditions are solved numerically. Influence of various flow parameters on momentum, thermal and concentration boundary layers is discussed graphically. It is noticed that the variable thickness of the surface has a leading consequence on the boundary layer progression along the surface. Moreover, the results of this study are not only useful for industrial applications but also present a basic understanding of the physical model.

Convective Heat Transfer in Drilling Nanofluid with Clay Nanoparticles: Applications in Water Cleaning Process

Drilling fluids are significant in the drilling methods of oils and gases from rocks and land. To improve the performance of drilling fluid clay nanoparticles, play a vital rule. When clay nanoparticles are added to the drilling fluids, the thermal conductivity, viscosity levels, and boiling point of the fluid boost which provide resistant to high temperatures and control the fluid cost. Bearing in mind the substantial rule of clay nanoparticles in drilling fluid, this article demonstrates the convection heat transfer in drilling nanofluid. More exactly, clay nanoparticles are suspended in three different based fluids (water, kerosene, and engine oil). The mathematical expressions of Maxwell–Garnett and Brinkman for the effective thermophysical properties of clay nanofluids are utilized, whereas the flow phenomenon is governed by a set linear PDEs with physical initial and boundary conditions. The Laplace transform technique is applied to obtain exact analytical solutions for velocity and temperature profiles. The skin friction and Nusselt number are computed and presented in tabular forms. To insight the influence of various flow parameters, the obtained solutions are computed using Mathcad and plotted in different figures. The results show that the Nusselt number is significantly increased with increasing values of volume concentration.

Unsteady double diffusive mixed convection flow over a vertically stretching sheet in the presence of suction/injection

An unsteady double diffusive mixed convection boundary layer flow over a vertically stretching sheet in the presence of suction/injection is investigated in this paper. The governing partial differential equations are reduced by applying suitable transformations to a set of nonlinear ordinary differential equations, which is solved by the Keller box method. The influence of various flow parameters on the velocity, temperature, and species concentration profiles of the fluid is studied. The effect of some problem parameters on the skin friction coefficient in the presence of suction/injection is considered.

Influence of thermal and velocity slip on the peristaltic flow of Cu–water nanofluid with magnetic field

The peristaltic flow of an incompressible viscous fluid containing copper nanoparticles in an asymmetric channel is discussed with thermal and velocity slip effects. The copper nanoparticles for the peristaltic flow water as base fluid is not explored so far. The equations for the purposed fluid model are developed first time in literature and simplified using long wavelength and low Reynolds number assumptions. Exact solutions have been calculated for velocity, pressure gradient, the solid volume fraction of the nanoparticles and temperature profile. The influence of various flow parameters on the flow and heat transfer characteristics is obtained.

Heat and Mass Transfer on the MHD Flow of Micro Polar Fluid in the Presence of Viscous Dissipation and Chemical Reaction

This paper considers the heat and mass transfer flow of magneto hydrodynamic micro polar fluid in the presence of viscous dissipation and chemical reaction. The governing non-linear partial differential equations are transformed into a system of coupled non-linear ordinary differential equations using similarity transformations and then solved numerically using the finite element method. The numerical results are compared and found to be in good agreement with previous results as special case of (viscous dissipation) the present investigation. The influence of various flow parameters of flow field has been discussed and explained graphically.

Finite element solution of double-diffusive boundary layer flow of viscoelastic nanofluids over a stretching sheet

This paper deals with the double-diffusive boundary layer flow of non-Newtonian nanofluid over a stretching sheet. In this model, where binary nanofluid is used, the Brownian motion and thermophoresis are classified as the main mechanisms which are responsible for the enhancement of the convection features of the nanofluid. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of group theory transformations. The variational finite element method (FEM) is used to solve these ordinary differential equations. We have examined the effects of different controlling parameters, namely, the Brownian motion parameter, the thermophoresis parameter, modified Dufour number, viscoelastic parameter, Prandtl number, regular Lewis number, Dufour Lewis number, and nanofluid Lewis number on the flow field and heat transfer characteristics. Graphical display of the numerical examine are performed to illustrate the influence of various flow parameters on the velocity, temperature, concentration, reduced Nusselt, reduced Sherwood and reduced nanofluid Sherwood number distributions. The present study has many applications in coating and suspensions, movement of biological fluids, cooling of metallic plate, melt-spinning, heat exchangers technology, and oceanography.

MHD Unsteady Free Convective Visco-Elastic Fluid Flow over a Radiative Vertical Porous Plate with Dufour Effects in Presence of Chemical Reaction

analysis on the unsteady two-dimensional incompressible visco-elastic MHD free convective fluid flow over a radiative vertical porous plate with Dufour effects in presence of chemical reaction has been presented. A uniform magnetic field acts perpendicular to the porous surface. The Rosseland approximation has been used to describe the radiative heat flux in energy equation and the influence of various flow parameters involved in the solution are described both numerically and physically to understand the physics of the problem. It is observed that the flow field is considerably affected by the visco-elastic parameter in comparison with Newtonian phenomena in presence of other physical variables. Possible applications of the present study include MHD propulsion thermo fluid dynamics, boundary layer in aerodynamics, chemical engineering etc.

Numerical Solution of MHD Viscoelastic Nanofluid Flow over a Stretching Sheet with Partial Slip and Heat Source/Sink

We analyze the effect of velocity slip boundary condition on the flow and heat transfer of non-Newtonian nanofluid over a stretching sheet with a heat source/sink, under the action of a uniform magnetic field, orientated normally to the plate. The Brownian motion and thermophoresis effects are also considered. The boundary layer equations governed by the partial differential equations are transformed into a set of ordinary differential equations with the help of local similarity transformations. The differential equations are solved by the variational finite element method (FEM). We have examined the effects of different controlling parameters, namely, the Brownian motion parameter, the thermophoresis parameter, uniform magnetic field, viscoelastic parameter, Prandtl number, heat source/sink parameter, Lewis number, and the slip parameter on the flow field and heat transfer characteristics. Graphical display of the numerical examination is performed to illustrate the influence of various flow parameters on the velocity, temperature, concentration, and Nusselt and Sherwood numbers distributions. The present study has many applications in coating and suspensions, cooling of metallic plate, paper production, heat exchangers technology, and materials processing exploiting.