Search

This research communication intends to evaluate the impact of time-dependent MHD Darcy–Forchheimer flow of CNTs/Ag nanoparticles on a heated stretchy surface. Water is employed as a base fluid, and two types of CNTs such as single- and multiwall carbon nanotubes are considered. The significance of nonlinear radiation and heat sink/source is added to our analysis. To accommodate the suitable variables, the governing nonlinear partial differential models are transformed into a set of ordinary differential models. These resulting models are solved analytically and numerically by utilizing the homotopy analysis technique and the bvp4c procedure in MATLAB. The distinctive behavior of pertinent physical parameters on the dimensionless profiles are displayed and discussed through diagrams, tables, and charts. It is discovered that the velocity profile decrepitude whenever there is a change in the unsteady, porosity, and injection/suction parameters. The space and temperature-dependent heat sink/source parameter cause to elevate the thermal profile. The Ag nanoparticles have a lesser surface shear stress compared to both CNTs. The heat transfer gradient develops for larger quantities of radiation and temperature ratio parameters. This research has significant applications in many industrial sectors, such as thermal exchangers, chemical reactors, microelectronics, biomedical engineering, aerodynamics, and industrial production processes. [ABSTRACT FROM AUTHOR]

The aim of this study is to examine the Darcy–Forchheimer flow = of H 2 O -based A l − A l 2 O 3 / C u − A l 2 O 3 hybrid nanofluid past a heated stretchable plate including heat consumption/ generation and non-linear radiation impacts. The governing flow equations are formulated using the Naiver–Stokes equation. These flow equations are re-framed by using the befitted transformations. The MATLAB bvp4c scheme is utilized to compute the converted flow equations numerically. The graphs, tables, and charts display the vicissitudes in the hybrid nanofluid velocity, hybrid nanofluid temperature, skin friction coefficient, and local Nusselt number via relevant flow factors. It can be seen that the hybrid nanofluid velocity decreased as the magnetic field parameter was increased. The hybrid nanofluid temperature tended to rise as the heat absorption/generation, nanoparticle volume friction, and nonlinear radiation parameters were increased. The surface drag force decreased when the quantity of the magnetic parameter increased. The larger size of the radiation parameter led to enrichment of the heat transmission gradient. [ABSTRACT FROM AUTHOR]

The main goal of the current research is to investigate the numerical computation of Ag / Al 2 O 3 nanofluid over a Riga plate with injection/suction. The energy equation is formulated using the Cattaneo–Christov heat flux, non-linear thermal radiation, and heat sink/source. The leading equations are non-dimensionalized by employing the suitable transformations, and the numerical results are achieved by using the MATLAB bvp4c technique. The fluctuations of fluid flow and heat transfer on porosity, Forchheimer number, radiation, suction/injection, velocity slip, and nanoparticle volume fraction are investigated. Furthermore, the local skin friction coefficient (SFC), and local Nusselt number (LNN) are also addressed. Compared to previously reported studies, our computational results exactly coincided with the outcomes of the previous reports. We noticed that the Forchheimer number, suction/injection, slip, and nanoparticle volume fraction factors slow the velocity profile. We also noted that with improving rates of thermal radiation and convective heating, the heat transfer gradient decreases. The 40 % presence of the Hartmann number leads to improved drag force by 14 % and heat transfer gradient by 0.5 % . The 20 % presence of nanoparticle volume fraction leads to a decrement in heat transfer gradient for 21 % of Ag nanoparticles and 18 % of Al 2 O 3 nanoparticles. [ABSTRACT FROM AUTHOR]

The behavior of the Darcy–Forchheimer flow of a double-hybrid nanofluid toward a Riga plate with radiation and heat source/sink effects is investigated. The two different hybrid nanofluids, (Al 2 O 3 and Ag) and (Al 2 O 3 and TiO 2 ) with a base fluid (H 2 O), are considered. The governing flow models with accompanying boundary constraints are reshaped into non-linear ODEs by applying the symmetry variables. The reshaped ODEs are numerically computed using Bvp4c in Matlab and the ND solver in Mathematica. The impact of the emerging parameters on the heat transfer, surface shear stress, temperature and velocity profile is scrutinized and expressed in a tabular and graphical structure. It is noticed that the upsurge of the Hartmann number leads to an improvement in the velocity profile. The velocity declines when enriching the porosity parameter. The radiation and Biot number lead to strengthening the temperature profile. The surface shear stress exalts due to a larger modified Hartman number. The radiation and unsteady parameters are downturns in the heat transfer gradient. [ABSTRACT FROM AUTHOR]

This research communication explains the flow of water/kerosene-based CNTs (carbon nanotubes) over a Riga sheet. The energy analysis is debated with the availability of radiation, viscous dissipation, and convective heating conditions. Two divisions of CNTs, like, SWCNTs (single-wall carbon nanotubes) and MWCNTs (multiwall carbon nanotubes), are considered. The pertinent variables are applied to overhaul the governing mathematical models into ODE expressions. The overhaul expressions are analytically solved by HAM (homotopy analysis method) and numerically solved by MATLAB bvp4c scheme. The repercussions of relevant parameters on nanoliquid velocity, nanoliquid temperature, skin friction coefficient, and local Nusselt number are inspected via graphs, tables, and charts. Our computational results are compared with the previous researcher results and have the most acceptable agreement. Our outcomes are used to understand the flow attributes, behavior, and how to predict it for those working in the design of thermal equipment in thermal industry. It is noticed that the nanoliquid velocity decayed in counter to the unsteady parameter, and it enhances for larger values of Hartmann number. The nanoliquid temperature enriches when raising the Biot number and radiation parameter. The change in unsteady parameter decays the surface shear stress, while reverse results are found in the local Nusselt number. [ABSTRACT FROM AUTHOR]

The article explains the significance of convective flow of a chemically reacting non-Newtonian fluid over a Riga plate with the presence of heat absorption/generation and double stratification. The Cattaneo-Christov heat and mass flux's equations are utilized to frame the energy and concentration equations. The governing nonlinear boundary layer systems are altered into a couple of ordinary differential system. we employed the homotopy analysis method for obtaining the analytical solution of these resultant system. Analytical explanation of skin friction coefficient, local Nusselt number and local Sherwood number are calculated and described in tabular as well as graphical forms. The contributions of distinct physical flow parameters on velocity, temperature and concentration profiles are shown and reviewed. The obtained results are compared with published results in existing literature and got good agreement. We found that larger skin friction coefficient is obtained from Riga plate compared to the stationary plate. The plate shear stress is high in viscoelastic fluid compared to the second grade fluid and viscous fluid. The larger Nusselt number is occurred in second grade fluid compared to the viscoelastic fluid and viscous fluid. The mass transfer gradient rises with raising the values of the chemical reaction parameter with small amount of solutal stratification parameter. [ABSTRACT FROM AUTHOR]

The current investigation deliberates the consequence of the glycerin-based carbon nanotubes with velocity slip in Darcy-Forchheimer porous medium on a convectively heated Riga plate. The Fourier heat flux theory was replaced by the Cattaneo-Christov theory. Moreover, nonlinear facets of radiation are also included in the energy expression, and this creates the energy expression which becomes highly nonlinear. The governing flow problems are altered into an ODE model with the help of suitable variables. The reduced models are solved numerically by applying MATLAB bvp4c theory and analytically by HAM idea. The impact of diverse physical parameters on velocity, temperature, skin friction coefficients, local Nusselt number, entropy generation, and Bejan number are scrutinized through tables and graphs. It is seen that both directions of fluid motion elevate when raising the modified Hartmann number, and it diminishes when escalating the quantity of the Forchheimer number and porosity parameter. The fluid warmth grows when the higher magnitude of the Biot number and heat generation/consumption parameter, and it downturns when enriching the thermal relaxation time parameter. The entropy generation slumps when heightening the slip parameter, whereas it improves when rising the radiation parameter. The Bejan number upturns when upgrading the Biot number and heat generation/consumption parameter. [ABSTRACT FROM AUTHOR]

This paper scrutinizes the consequences of radiation and heat consumption of MHD convective flow of nanofluid on a heated stretchy plate with injection/suction and convective heating/cooling conditions. The nanofluid encompasses with C u and A g nanoparticles. We enforce the suited transformation to remodel the governing mathematical models to ODE models. The HAM (homotopy analysis method) idea is applied to derive the series solutions. The divergence of fluid velocity, temperature, skin friction coefficient, local Nusselt number, entropy generation, and Bejan number on disparate governing parameters is exhibited via graphs and tables. It is seen that the fluid velocity in both directions is subsided when elevating the magnetic field and Forchheimer number. Also, the C u nanoparticles possess hefty speed compared to A g nanoparticles because the density of A g nanoparticles is high compared to that of C u nanoparticles. The fluid temperature upturns when enlarging the heat generation and radiation parameters. The skin friction coefficients and local Nusselt number are high in A g nanoparticles than in C u nanoparticles. [ABSTRACT FROM AUTHOR]

In this article, we investigate the double diffusive flow of a viscoelastic fluid on a stretching paper with convective boundary condition under the influence of thermal-diffusion and diffusion-thermo effects, thermal radiation, internal heat generation or absorption, chemical reaction, and thermal radiation. The governing boundary layer equations are analytically solved by using Homotopy Analysis Method (HAM). Variations of the velocity, concentration, and temperature profiles for different values of physical parameters are graphically displayed and discussed. Numerical results of the local Sherwood number and the local Nusselt number are also tabulated. It is observed that the local Nusselt number increases on increasing the radiation parameter. The local Sherwood number increases on increasing the chemical reaction parameter. [ABSTRACT FROM AUTHOR]

The Problem of three-dimensional MHD convective boundary layer flow and heat transfer of a viscoelastic fluid in the presence of radiation was examined. A similarity transformation is used to reduce the governing non-linear partial differential equations into ordinary differential equations and then they are solved using homotopy analysis method (HAM). Graphical results for the velocity and temperature profiles are displayed and discussed. Numerical results for the local Nusselt number is tabulated for various values of the parameters. [ABSTRACT FROM AUTHOR]