Forchheimer Number Research Articles

Numerical Investigation on Nonlinear Radiative Magneto Hydrodynamics Hybrid Nanofluid Flow Past a Stretching Cylinder Embedded in Porous Medium

The goal of this work is to investigate the effects of thermal radiation on MHD hybrid nanofluid flow over a stretching cylinder immersed in a porous medium. The mathematical model of the physical problem is provided and the resulting governing equations are transformed into the system of non-linear ordinary differential equations using similarity transformation and it is solved numerically by the fourth-order Runge Kutta method combined with the shooting approach using the MATLAB software. The physical impacts of volume fraction, porosity parameter, Forchheimer number, magnetic field, wall temperature parameter, and radiation factor on the hybrid nanofluid flow are interpreted by graphs and tables. Moreover, the skin friction and heat transfer rate of the engineered fluid are discussed. In addition, the current work is in good accord with past studies. It is observed that the volume concentration of Cu gradually dominates the flow field, causing the skin friction and heat transfer rate to be reduced. Also, it is found that the skin friction coefficient and heat transfer rate are enhanced by the increase in Darcy and Farchheimer numbers.

Investigating to chemically reactive and radiative Darcy/non-Darcy stagnation point flow of ternary composite nanofluids with moderate Prandtl numbers

ABSTRACT In this study, the Darcy or non-Darcy stagnation point flow and thermal analysis of ternary composite nanofluids with modest Prandtl numbers across stretched surfaces that are susceptible to slip or no-slip environments are examined. The concept of non-linear thermal radiation is brought into play. It has been decided to apply non-linear slip. Homogeneous and heterogeneous chemical reactions, or HHCRs, make the flow problem harder to solve. Along with the shooting method, the Runge–Kutta method of the fourth order is an important part of the numerical solution needed for the non-dimensional and non-linear system of partial differential equations. In slip and no slide, both the amplified porosity parameter and the Forchheimer number work to slow down the speed of the fluid. In a medium that may be Darcy or non-Darcy, an increase in the slip parameter causes the fluid velocity and temperature to sputter and stop. When Darcy and non-Darcy media and slip and no-slip conditions are taken into account, surface viscous drag goes down as the strength of the porous matrix goes up, heat transfer rate goes down as the Brinkman number goes up, and mass transfer rate goes up as the homogeneous reaction rate parameter goes up.

Estimation of entropy generation and heat transfer of magnetohydrodynamic quadratic radiative Darcy–Forchheimer cross hybrid nanofluid (GO + Ag/kerosene oil) over a stretching sheet

The steady two-dimensional magnetohydrodynamic flow and heat transfer behavior of Darcy–Forchheimer non-Newtonian (Cross) hybrid nanofluid consisting of Go/Kerosene oil and Go + Ag/Kerosene oil through the porous medium past astretched sheet are analyzed here. The heat energy is augmented with quadratic thermal radiation, Ohmic heating, and convective boundary conditions. There is a huge market for nanotechnology, and the development of these materials can be predicted to be very light. Non-Newtonian hybrid nanofluids have several uses in the biomedical, culinary, industrial, and polymer industries. The governing set of nonlinear partial differential equations is converted to ordinary differential equations before being solved numerically. 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. The influence of different fluid flow parameters on the velocity, temperature, skin friction, and local Nusselt number are analyzed tabularly and graphically. It is observed that velocity and temperature profile upsurges for the higher values of Weissenberg number. It is also found that quadratic thermal radiation has a significant impact on fluid temperature and heat transfer rate. Forchheimer number and magnetic field resistance make the flow slower and cause enhancement in liquid temperature. Further, adding a volume fraction of silver with Graphene oxide becomes responsible for stabilizing the flow and enhancing heat transportation. The entropy generation becomes more significant with quadratic thermal radiation and Eckert number.

Analysis of Cattaneo–Christov heat flux and thermal radiation on Darcy–Forchheimer flow of Reiner–Philippoff fluid

The non-Newtonian liquid scheme is created to address the limitations of the classical (Newtonian) scheme in terms of accurately reflecting real-world fluid flow behavior in industrial applications and improving operational efficiency. The Reiner–Philippoff model, one of the many extant models, modeling non-Newtonian fluids, is of concern because it only captures a few features in some circumstances. Thus, this study aims to investigate the theoretical aspects of Cattaneo–Christov for heat diffusion fusion of Reiner–Philippoff liquid stream in the presence of Darcy–Forchheimer media. Furthermore, the procedure of heat transport is taken out in the occurrence of nonlinear heat radiative, viscous dissipation and Ohmic heating. The partial derivatives of nonlinear differential equations are changed into similarity equations of a certain form by using appropriate similarity transformations. Furthermore, the Runge–Kutta–Fehlberg method with shooting approach is utilized to solve the dimensionless model. The influence of pertinent fluid flow parameters is illustrated graphically. The further engineering curiosity of a local Nusselt number is illustrated and analyzed. It is found that velocity curve is boosted with the augmenting scales of Reiner–Philippoff liquid parameter and Forchheimer number. Further, it is analyzed that increasing the thermal relaxation parameter and Eckert number reduces the heat transport rate at the surface.

Mass-loss effects on the non-Darcy seepage characteristics of broken rock mass with different clay contents

A seepage testing system was designed and a series of seepage experiments on broken rock was conducted using different original porosity conditions and clay contents. The mass-loss process of the broken rock and the change in water flow velocity were investigated. After the mass-loss test, the non-Darcy seepage characteristics of the broken rock were tested through a step-by-step pressure-reduced seepage test. The experimental results show that the mass-loss and water velocity evolution during the water inrush could be divided into four stages: acceleration, stable with slight fluctuations, reacceleration, and stable. The lost-mass and change in water velocity were positively correlated with the clay contents and negatively correlated with the original porosity. By introducing the evolution equation of the Kozeny-Carman equation and the liquid limit index which characterises the effective particle size, the prediction model of the permeability coefficient was built. Six prediction models of the non-Darcy coefficient were verified against the testing results. The prediction model of the critical flow velocity from a Darcy flow to a non-Darcy flow using the Forchheimer number was also established. The results could provide an important reference for understanding water inrush mechanisms, adopting effective control measures for water inrush events, and calculating the water influx of tunnels.

Simultaneous features of ternary hybrid nanoparticles on thermal radiative flow configured by Darcy–Forchheimer porous surface

Due to its remarkable thermodynamic development in various engineering sciences, the dispersion of nanostructures in classical base liquids is receiving greater attention from researchers and scientists. In light of the aforementioned inspirations, the suggested research is associated with using a water-based ternary-hybrid nanofluid that contains three unique nanostructures, silicon dioxide, titanium dioxide and aluminum oxide to optimize the heating process in science and engineering. In this situation, the influence of a chemically reactive magneto-hydrodynamics (MHD) Darcy–Forchheimer ternary hybrid composites transport involving nonlinear radiation across an exponentially permeable stretched surface is highlighted with the model’s physical initial and boundary constraints. The simulation of the heat expression also includes the impacts of nonlinear thermal radiations, energy supply, energy dissipation and magnetic force. Furthermore, the interpretation of Buongiorno’s theory involves spontaneous and thermophoresis diffusions. Entropy analysis is explained using the second law of thermodynamics. We converted the model framework for fluid movement, energy and mass transfer (together with ternary hybrid nanofluid characteristics) into self-similar nondimensional differential equations, that were then further analytically evaluated by using the homotopy asymptotic method (HAM) technique via Mathematica software. The acquired results are illustrated numerically and graphically to study the behavior of fluid flow, heat, concentration distribution, drag force, rate of heat and mass transfer for various emergent components to gain scientific comprehension. With the growing values of magnetic, porosity and Forchheimer number, the nature of the velocity profile goes down.

Effect of Magnetic Field on the Developing Thermal Field in a Duct Filled with Porous Media under Local Thermal Non-Equilibrium with a Nonlinear Flow Model

In this article, the numerical study of the influence of a magnetic field at the laminar forced convection in a thermally developing region coming under the influence of local thermal non-equilibrium (LTNE) of parallel plate channels completely immersed in the porous material is investigated. Constant wall heat flux boundary conditions are applied to the walls of the channel. In the nonlinear flow model, the Darcy-Brinkman-Forchheimer equation governs the flow field in the porous region, which is assumed to be unidirectional. The system is defined by certain well-known parameters, these being Darcy number (Da), thermal conductivity ratio (κ), Forchheimer number (F), Hartmann number (M), and Biot number (Bi). Numerical solutions have been obtained by applying a successive accelerated replacement (SAR) scheme. Exact solutions for the dimensionless temperature and the fully developed Nusselt number in the absence of the Forchheimer number (F = 0), for the fully developed thermal field, are obtained for the linear flow model, the Darcy-Brinkman model. Plots are given for the dimensionless temperature profiles in the fluid and solid phases, wall temperature, as well as the local Nusselt number at the parallel plate channel, which has been displayed. The effect of the magnetic field and the thermal conductivity ratio has a significant effect on the local Nusselt number.

Physical insight into magneto-thermo-migration of motile gyrotactic microorganisms over a flexible cylinder with wall slip, and Arrhenius kinetics

A numerical simulation of magneto-bioconvective DF (Darcy-Forchheimer) transport of gyrotactic microbes using the Williamson nanofluid model over a flexible cylinder under the physical effects of Arrhenius activation energy, thermal radiation, triple stratifications and wall slip is performed in this research communication. The flow dynamics also take into consideration the thermo-migration and random (haphazard) motion's physical effects. The similarity transformations are opted to translate the governing system of non-linear coupled PDEs into ODEs, which are then numerically tackled using the sophisticated MATLAB function named bvp4c. The significant effects of developing emergent physical factors on the accompanying fields are exploited via graphical sketches and numerically constructed tables. It is determined that strengthening the Williamson, porosity, magnetic parameters, and Forchheimer number causes considerable slowing of transport profiles. Thermal enrichment can be seen by increasing thermal radiation and thermophoresis parameters. Microbe concentration rises as a response to activation energy and reaction parameters. The current model may be used to solve various biological, biomedical, bioengineering, architectural thermal insulation, geophysical activities, and ecological problems.

Second law analysis in Darcy‐Forchheimer flow of tangent hyperbolic nanofluid in the presence of gyrotactic microorganisms

AbstractThis article investigates the creation of entropy and the thermal transport of fluids during hyperbolic tangent flow with Darcy‐Forchheimer flow over a stretching surface. Because of the role of shear‐thinning that the hyperbolic tangent fluid displays, the mechanics of the fluid are described with the assistance of a connected system of differential models that are constructed from a partial differential equation. The bvp4c routine, a three‐stage Lobatto‐IIIA method numerical analysis is utilized in the study. The effects of varying values of dimensionless parameters including Forchheimer number, inertia parameter, thermal radiation, Brownian motion, Prandtl number, Scimdth number, chemical reaction, Peclet number an Bioconvection Lewis number are simulated numerically. In addition, to this, the numerical values of the skin friction coefficient, the local Nusselt and Sherwood number and motile density are shown in the form of graphs and tables respectively. It has been discovered that increasing the value of the Fr and γ results in an upsurging velocity profile while a reverse trend is noted for the unsteady parameter. In addition to this, higher values of the radiation parameter Rd cause the operating fluid to be subjected to a greater quantity of heat, which results in an associated increase in the temperature profile.

Numerical Computation of Ag/Al2O3 Nanofluid over a Riga Plate with Heat Sink/Source and Non-Fourier Heat Flux Model

The main goal of the current research is to investigate the numerical computation of Ag/Al2O3 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 Al2O3 nanoparticles.

Modeling and simulation for Cattaneo-Christov heat analysis of entropy optimized hybrid nanomaterial flow.

Here, the hydromagnetic entropy optimized flow of a hybrid (Pb + Fe2O3/C2H6O2) nanoliquid by a curved stretchable surface is addressed. The Darcy-Forchheimer model is utilized for porous space. Lead (Pb) and ferric oxide (Fe2O3) are considered the nanoparticles and ethylene glycol (C2H6O2) as the base liquid. Thermal expression consists of dissipation and ohmic heating. Entropy generation is under consideration. The Cattaneo-Christov heat flux impact is discussed. Non-dimensional partial expressions by adequate transformations have been reduced to ordinary differential systems. The ND-solve technique is implemented for numerical solutions of dimensionless systems. Graphical illustrations of velocity, thermal field and entropy against influential variables for both nanoliquid (Pb/C2H6O2) and hybrid nanoliquid (Pb + Fe2O3/C2H6O2) are presented. Graphical illustrations of velocity, thermal field and entropy against sundry variables for both nanoliquid (Pb/C2H6O2) and hybrid nanoliquid (Pb + Fe2O3/C2H6O2) are presented. Influences of sundry variables on the Nusselt number and drag force for both nanoliquid (Pb/C2H6O2) and hybrid nanoliquid (Pb + Fe2O3/C2H6O2) are examined. A higher thermal relaxation time tends to intensify the heat transport rate and temperature. An increment in the magnetic variable leads to an enhancement of the entropy and thermal field. An improvement in liquid flow is seen for volume fraction variables. Velocity against the porosity variable and Forchheimer number is reduced. The Brinkman number leads to maximization of entropy generation.

Forchheimer–Bénard Instability of the Non-Newtonian Fluid

The present paper examines the effect of vertical throughflow on the onset of convective instability in a horizontal porous layer filled with a non-Newtonian power-law fluid (PL). The permeable boundary layers are exposed to two different uniform constant temperature conditions, The Oberbeck-Boussinesq hypothesis is considered with the Darcy-Forchheimer model. A fourth-order eigenvalue problem is stemmed from the performance of the linear stability analysis, and the critical values are obtained using the shooting method combined with the Runge-Kutta method. The non-Newtonian Darcy-Rayleigh number (R), the Péclet number (Pe), the Forchheimer number (G), and the power-law index (n) are the parameters whose value play a crucial role in the onset of instability. The finding shows more stabilizing effects arise in pseudoplastic fluid than dilatant one at Peclet number Pe << 1 where the inverse behaviour takes place at large Peclet number even with the existence of the drag number or without it.

Thermal Behavior of the Time-Dependent Radiative Flow of Water-Based CNTs/Au Nanoparticles Past a Riga Plate with Entropy Optimization and Multiple Slip Conditions

This communication deliberates the time-reliant and Darcy-Forchheimer flow of water-based CNTs/gold nanoparticles past a Riga plate. In addition, nonlinear radiation, heat consumption and multiple slip conditions are considered. Entropy generation is computed through various flow parameters. A suitable transformation with symmetry variables is invoked to remodel the governing mathematical flow models into the ODE equations. The homotopy analysis scheme and MATLAB bvp4c method are imposed to solve the reduced ODE equations analytically and numerically. The impact of sundry flow variables on nanofluid velocity, nanofluid temperature, skin friction coefficient, local Nusselt number, entropy profile and Bejan number are computed and analyzed through graphs and tables. It is found that the nanofluid velocity is reduced by greater porosity and slip factors. The thickness of the thermal boundary layer increases with increasing radiation, temperature ratio, and heat consumption/generation parameters. The surface drag force is reduced when there is a higher Forchheimer number, unsteadiness parameter and porosity parameter. The amount of entropy created is proportional to the radiation parameter, porosity parameter and Reynolds number. The Bejan number profile increases with radiation parameter, heat consumption/generation parameter and the Forchheimer number.

Heat transfer and entropy analysis in squeezing flow of hybrid nanofluid (Au-CuO/NaAlg) with D-F (Darcy-Forchheimer) and C-C (Cattaneo-Christov) heat flux

Hybrid nanofluid bounded between two infinite parallel surfaces in presence of D-F (Darcy-Forchheimer) porous medium is explored in this analysis. Heat transport is explored by C-C (Cattaneo-Christov) heat flux and thermal radiation. Flow is originated due to squeezing of upper and stretching infinite surfaces. Entropy and Bejan number are part of this study. Lower surface is subject to convective boundary condition. Mathematical modeling of flow field is done under aforementioned assumptions. By transformation technique, PDEs (flow and heat transport expressions) are changed into ODEs. Solutions are obtained via ND-solve (shooting technique). Quantities of our interests (flow, entropy, velocity, Bejan number, skin friction) are evaluated under involved variables. Velocity of both hybrid nanomaterial and nanofluid boosts against higher squeezing and porosity parameters and Forchheimer number. Dominated behavior of velocity in case of hybrid nanomaterial is observed when compared with nanofluid. Fluid temperature intensifies by squeezing parameter and Eckert number while reduction occurs for radiation parameter. Variation in temperature is more for hybrid nanomaterial. Entropy production rate reduces for higher squeezing parameter while it increases through porosity parameter. Bejan number is an increasing function of squeezing parameter while it reduced for porosity parameter. Skin friction is controlled by squeezing parameter and Forchheimer number.

Bioconvective chemically reactive entropy optimized Cross-nano-material conveying oxytactic microorganisms over a flexible cylinder with Lorentz force and Arrhenius kinetics

In this research study, an entropy assessment in the bioconvective Darcy–Forchheimer (DF) stream of MHD Cross nanofluid carrying oxytactic microbes past a flexible cylinder with velocity slip, Arrhenius kinetics, and chemical reaction is predicted. The Buongiorno model is used to expose random movement and thermophoresis phenomena. The simulated model equations are transmuted to coupled highly nonlinear ODEs by employing a suitable similarity transition and boundary-layer approximation. The resultant ODEs are tackled numerically using the RKF45 with the shooting approach via NDSolve in Mathematica software with specific ranges of parameters like 0.1≤We,λ,Gt,Gc,Rb,Ω,Ec≤0.4, 0.1≤M2,E,Pe≤2, 0.01≤γ≤0.2, π/5≤α≤π/2, 0.1≤S1,S2,S3,Kp≤0.7, 0≤Fr≤3, 0.01≤Nt,Nb≤0.4, 0≤K≤0.9, 0.1≤Lb,Sc≤0.5 and 0.2≤Pr≤3. The outcomes show that the velocity field slows down due to an elevation in the porosity parameter and Forchheimer number. The thermal, solutal and microbial profiles decline due to their respective stratification parameters. Furthermore, activation energy encourages the Sherwood number, but it is dropped significantly as the chemical reaction progresses. It is also worth noting that the porosity parameter and Forchheimer number promote entropy production rate, while an opposing attribute is assessed for higher activation energy.

Entropy generation on MHD Maxwell hybrid nanofluid over a Stretching cylinder with Cattaneo-Christov heat flux: Analytical and numerical simulations

In the present study, we examine the influence of entropy generation on Maxwell hybrid nanofluid over a cylinder in the presence of non-linear thermal radiation and Cattaneo-Christov heat flux. In this model, we considered [Formula: see text] and [Formula: see text] are the nanoparticles which are suspended in the base fluid blood. The basic PDE’s (Partial differential equations) are transformed into ODE’s (Ordinary differential equations) by ensuring the suitable self-similarity transformations. ODEs are resolved using a Runge–Kutta 4th-order along with shooting procedure. Numerical method ( NM) and Homotopy perturbation method ( HPM) solutions for the nonlinear system are obtained so that they compared to each other for the case of cylinder. The HPM is developed for comparison purposes, and more accurate and reliable outcomes are illustrated through graphs. Moreover, the obtained results are compared with the existing literature and are found to be an excellent agreement. It is found that the fluid velocity reduces for the higher values of magnetic parameter. Higher values of the heat generation parameter improve the temperature profiles. Nusselt number decreases when developing Darcy–Forchheimer number and temperature time relaxation parameter. This type of flow problems may be utilized to improve the blood flow in the blood vessel has attracted the attention of physicians and biomedical researchers as it specializes in various treatments such as drug targeting, cell tissue engineering, cancer, hyperthermia and hypothermia.

Darcy-Forchheimer natural convection flow along a complex roughened surface

The influence of complex roughened surface on the Darcy-Forchheimer natural convection flow is investigated numerically. A natural convection flow within porous medium occurs in a variety of engineering applications that include solar power collectors that are used to control the pollutant spread, cooling of nuclear reactors, and geothermal engineering. Recent research has focused on reducing skin friction drag induced by viscous forces acting on a rigid body surface as it moves through a fluid by considering roughened surface or mass transfer (mass injection or suction) at the surface. The purpose of this study is to investigate how much skin friction drag reduces by considering complex roughened surface in Darcy-Forchheimer natural convection flow. A mathematical model is obtained in the form of nonlinear PDEs by transferring surface roughness effect from boundary to governing equations and made dimensionless through suitable scaling variables. To obtain a numerical solution for resulting nonlinear PDEs, a finite difference scheme is applied. The results reveal that skin friction drag reduces by making roughened surface a complex surface and further reduces by adding the combined effects of Darcy and Forchheimer numbers also total heat transfer rate enhances by increasing the values of Darcy as well as Forchheimer numbers. These results seem novel findings in this study.

Numerical Computation for Gyrotactic Microorganisms in MHD Radiative Eyring-Powell Nanomaterial Flow by a Static/Moving Wedge with Darcy-Forchheimer Relation.

The intention of this study is to carry out a numerical investigation of time-dependent magneto-hydro-dynamics (MHD) Eyring–Powell liquid by taking a moving/static wedge with Darcy-Forchheimer relation. Thermal radiation was taken into account for upcoming solar radiation, and the idea of bioconvection is also considered for regulating the unsystematic exertion of floating nanoparticles. The novel idea of this work was to stabilized nanoparticles through the bioconvection phenomena. Brownian motion and thermophoresis effects are combined in the most current revision of the nanofluid model. Fluid viscosity and thermal conductivity that depend on temperature are predominant. The extremely nonlinear system of equations comprising partial differential equations (PDEs) with the boundary conditions are converted into ordinary differential equations (ODEs) through an appropriate suitable approach. The reformed equations are then operated numerically with the use of the well-known Lobatto IIIa formula. The variations of different variables on velocity, concentration, temperature and motile microorganism graphs are discussed as well as force friction, the Nusselt, Sherwood, and the motile density organism numbers. It is observed that Forchheimer number decline the velocity field in the case of static and moving wedge. Furthermore, the motile density profiles are deprecated by higher values of the bio convective Lewis number and Peclet number. Current results have been related to the literature indicated aforementioned and are found to be great achievement.

Hydrothermal stagnation point flow of Carreau nanofluid over a moving thin needle with non-linear Navier's slip and cubic autocatalytic chemical reactions in Darcy-Forchheimer medium

The present analysis deals with the hydrothermal and stagnation point flow of non-Newtonian fluid characterized by Carreau model over a moving thin needle. Darcy-Forchheimer medium is introduced. Homogeneous and heterogeneous chemical reactions are involved in the flow model. Non-linear Navier's slip condition is taken into account. Buongiorno model is adopted. The present hydrothermal flow model is useful in many complex industrial processes. The required numerical solution is obtained by 4th order Runge Kutta method along with shooting technique. The some remarkable outcomes of the current study are that axial velocity whittles down with rise in Weissenberg number and exhibits reverse trend in response to increase in non-linear slip parameter. Amplification of homogeneous and heterogeneous reaction parameters leads to diminution of nanoparticles concentration. Surface viscous drag intensify due to increment in Forchheimer number and heat transfer rate ameliorates with hike in Weissenberg number for both power law behavior (shear thinning and shear thickening) of Carreau nanofluid.

Entropy Analysis for Hydromagnetic Darcy–Forchheimer Flow Subject to Soret and Dufour Effects

Here, our main aim is to examine the impacts of Dufour and Soret in a radiative Darcy–Forchheimer flow. Ohmic heating and the dissipative features are outlined. The characteristics of the thermo-diffusion and diffusion-thermo effects are addressed. A binary chemical reaction is deliberated. To examine the thermodynamical system performance, we discuss entropy generation. A non-linear differential system is computed by the finite difference technique. Variations in the velocity, concentration, thermal field and entropy rate for the emerging parameters are scrutinized. A decay in velocity is observed for the Forchheimer number. Higher estimation of the magnetic number has the opposite influence for the velocity and temperature. The velocity, concentration and thermal field have a similar effect on the suction variable. The temperature against the Dufour number is augmented. A decay in the concentration is found against the Soret number. A similar trend holds for the entropy rate through the radiation and diffusion variables. An augmentation in the entropy rate is observed for the diffusion variable.