Permeable Cone Research Articles

Analyzing the MHD Bioconvective Eyring–Powell Fluid Flow over an Upright Cone/Plate Surface in a Porous Medium with Activation Energy and Viscous Dissipation

In the field of heat and mass transfer applications, non-Newtonian fluids are potentially considered to play a very important role. This study examines the magnetohydrodynamic (MHD) bioconvective Eyring–Powell fluid flow on a permeable cone and plate, considering the viscous dissipation (0.3 ≤ Ec ≤0.7), the uniform heat source/sink (−0.1 ≤ Q0 ≤ 0.1), and the activation energy (−1 ≤ E1 ≤ 1). The primary focus of this study is to examine how MHD and porosity impact heat and mass transfer in a fluid with microorganisms. A similarity transformation (ST) changes the nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs). The Keller Box (KB) finite difference method solves these equations. Our findings demonstrate that adding MHD (0.5 ≤ M ≤ 0.9) and porosity (0.3 ≤ Γ ≤ 0.7) effects improves microbial diffusion, boosting the rates of mass and heat transfer. Our comparison of our findings to prior studies shows that they are reliable.

Transporting Heat with Hybrid Carreau Nanofluid Over Rotating Cone with Slip and Hall Parameters

Background: Improvement in thermal system and its efficiency can be achieved by involving the hybrid nanoparticles due to its vital impact. This report analyzes Carreau Nanofluid with various nanoparticles for enhanced thermal efficiency. A rotating permeable cone with Hall and Ion slip forces is utilized in the setup. To evaluate momentum transportation, a cone is rotated and generalized Ohm’s law is applied, including an inclined magnetic force. Heat transfer analysis considers viscous dissipation, heat generation, and joule heating. Please shorten the given text for me to be able to assist you better. Novelty: This study innovatively uses spectral relaxation to solve characteristics of a magnetized, inclined Carreau Nanofluid. It investigates the effects of Hall and ion slip forces on a rotating, heated porous cone. No discussion yet on inclined magnetized environment for Carreau Yasuda NF movement over rotating cone with spectral relaxation. Formulation: PDEs governing Carreau fluid viscosity simulation transformed into ODEs with similarity transformation. The study includes graphs and tables displaying the impact of limitations on current and velocity fields. Findings: Higher energy and Eckert numbers increase heat transport, while Hall ion slip parameters enhance liquid waves. Hybrid nanoparticle speed slows due to ion slip and Hall parameters.

Significance of Cu-Fe3O4 on fractional Maxwell fluid flow over a cone with Newtonian heating

The goal of this research is to investigate fractional Maxwell hybrid nanofluids utilizing partial differential equations in terms of Caputo time fractional derivatives. Specifically, the effect of Newtonian heating on the thermal performance of a fractional Maxwell hybrid nanofluid moving over a permeable cone in the presence of thermal radiation and heat generation is considered. The Crank–Nicolson method and L1 algorithmt of Caputo derivative are used to find numerical solutions to the considered nonlinear problem. The effects of significant flow factors on fluid properties are examined and illustrated in various graphs. According to the results, the thermal performance of the fluid raised by 0.4%, 6.1%, and 3.1% on adding 4% volume fraction of Fe3O4, Cu, and Cu−Fe3O4, respectively, in the base fluid.

Thermal case examination of inconstant heat source (sink) on viscous radiative Sutterby nanofluid flowing via a penetrable rotative cone

To improve heat transfer, this work provides a unique theoretical mathematical model of ternary hybrid nanofluid. In this analysis, the tri-hybrid nanoparticles TiO2, Al2O3, and AA7072 are submerged in ethylene glycol (EG), resulting in the mixture TiO2+Al2O3+AA7072/EG. The tri hybridity nanofluid is considered 3-D flowing via a rotate permeable cone embedded in Darcy-Forchheimer porousness material in the existence of fluctuating temperature generating (sink) and current radiate fluxing. The Keller box scheme (KBS) is exploited to resolve the liquid flowing and temperature equations numerically after converting them to ordinary differential equations employing similarity transformations. The results are graphed, and it is shown that the tri-hybrid nanofluid (THNF) has superior thermal conductance to the hybrid nanofluid (HNF) and that the fluid's velocity and temperature develop as a consequence of enlargement in thermal radiative fluxing and variable thermal conductivity effects. Raising values of De and Fr decline drag friction but drag friction coefficient values are improved as a result of positive variation in M,Re,ς, and λ. It is apparent that the rate of heat transference amplifies owing to magnification in QT, QE and Rd but the heat transfer rate diminishes due to magnification in Re and Fr. Incremental change in volume fraction of nanoparticles φ=0.005to0.03 delivers more heat in the case of tri-HNFs TiO2+Al2O3+AA7072 in contrast to ethylene glycol based TiO2+Al2O3 fluid. The optimal percentage error diminishes for the drag friction phenomenon from 1.4% up to 1.1% by adopting De from 1 to 1.5 and λ=0.5. The percentage error in terms of heat transfer rate is getting smaller from 3.6% to 3.0% because of a positive change in QT by keeping Rd=1.5.

Non-Newtonian Electrically Conducting Nano Fluid Heat and Mass Transfer Analysis Over a Vertical Cone with Convective Boundary Condition

Electrically conducting, thermally radiative non-Newtonian Nano fluid heat and mass transfer features over a vertical permeable cone with chemical reaction and convective boundary condition is numerically scrutinized in this article. The system of transformed mathematical equations are numerically solved by utilizing the most efficient Finite element method. Brownian motion, Magnetic field, Lewis number, Biot number, Chemical reaction, Buoyancy ratio, Suction/Injection, Prandtl number, Thermal radiation parameters influence on Nanoparticle volume fraction, temperature and velocity scatterings is evaluated and the outcomes are plotted through graphs. Furthermore, the non-dimensional rates of concentration and heat transfer values are also premeditated. The temperature of the Nano fluid amplifies with rising values of Brownian motion parameter and this augmentation is more in non-Newtonian case than the Newtonian case. Addition of Convective boundary condition into the liquid flow intensifies the rates of heat transfer of non-Newtonian nanoliquid.

A study on MHD flow of SWCNT-Al2O3 /water hybrid nanofluid past a vertical permeable cone under the influence of thermal radiation and chemical reactions

This study investigates the steady, incompressible MHD flow of a hybrid nanofluid over a vertical solid cone embedded in a porous medium under suction effect. The research explores the effects of various factors, such as thermal radiation, chemical reactions, heat generation, viscous dissipation, and Joule heating on heat and mass transfer phenomena. To investigate the effects of hybrid nanoparticles, we consider single-walled carbon nanotubes (SWCNT) and alumina (Al2O3 ) along with water (H2O) as the base fluid. After a suitable similarity transformation, the governing equations are reconstructed and solved using the Keller-box numerical scheme. We present graphical and tabular analyses of various parameter impacts on heat transfer profiles and coefficients. This study provides valuable insights into the control of fluid dynamics and heat transfer in porous media, which have significant implications for industrial and engineering applications. The findings of the current article are in excellent agreement with previously published works.

Variable thermal conductivity and thermophoretic aspects of free convection flow of a micropolar fluid due to a permeable cone: Heat source/sink

Boundary layer analysis is introduced for providing a numerical treatment of steady state free convection flow of non-Newtonian fluid of micropolar type through an isothermal vertical permeable cone under impacts of variable thermal conductivity and thermophoretic force. Both heat generation or absorption and viscous dissipation are considered. The resulting altered boundary layer flow equations are numerically tackled by the help of the implicit finite difference approach. Two states are addressed: one corresponds to constant thermal conductivity, and the other is variable thermal conductivity. The skin friction, couple stress coefficients fluctuations, and Nusselt number for miscellaneous significant sundry factors are presented graphically and argued. From the calculated outcomes, the coefficient of couple stress reduces for larger values of vortex viscosity parameter R, while the reverse trend is noticed through the surface temperature exponent m factor. Augmentation in thermophoretic factor ω leads to the thermophoretic forces that encapsulates the mass transmission. As a certain case, the system flow equations of a classical Newtonian liquid are gained, by dropping the micropolar factors consequences.

Entropy Generation Analysis of Al2O3–Water Nanofluid Flow Past a Permeable Cone Under the Effect of Suction/Injection and Viscous Ohmic Dissipations

Entropy Generation Analysis of Al2O3–Water Nanofluid Flow Past a Permeable Cone Under the Effect of Suction/Injection and Viscous Ohmic Dissipations

Effects of surface roughness and thermal radiation on mixed convective (GO–MoS2/H2O–C2H6O2) hybrid nanofluid flow past a permeable cone

Effects of surface roughness and thermal radiation on mixed convective (GO–MoS2/H2O–C2H6O2) hybrid nanofluid flow past a permeable cone

Darcy–Forchheimmer flow of MHD Jeffrey nanoliquid over a permeable cone with Cattaneo–Christov heat and mass flux theories

Objective of the present study is to magnify the effects of Cattaneo–Christov heat and mass flux models on the phenomena of heat and mass transfer aspects for single-phase Jeffrey nanoliquid above a permeable cone in the occurrence of Darcy–Forchheimmer, Brownian motion and thermophoresis effects. The primitive governing equations for Jeffrey fluid flow are formulated with the aid to boundary layer approximations. The non-dimensional forms of the corresponding equations are elucidated by the optimal homotopy analysis method (OHAM). Some elementary features as velocity, temperature and nanoparticles concentrations with respect to the various critical parameters like magnetic parameter, porosity, Darcy–Forchheimmer, Prandtl number, thermophoresis parameter, Brownian motion, Deborah number of first and second kind, Schmidt number and Jeffrey fluid parameter are investigated via plots. The study also divulges the investigation of the skin friction factor, the Nusselt number and the Sherwood number through tables. A comparative study between the OHAM with the previously published results justifies the salient features of OHAM.

Numerical approach of micropolar dust-particles natural convection fluid flow due to a permeable cone with nonlinear temperature

This contribution devotedly analyzes the behaviour of momentum and heat transfer of dust particles micropolar fluid flow due to a vertical permeable cone with suction and variable wall temperature. Homogeneously suspended dust nano-particles is suggested. Non-similar solutions for governing equations are noticed to be exist when the surface temperature varies as a power law with the length measured from the leading edge. Via suitable coordinate transformation the flow governing equations transformed into non-similar boundary layer flow equations. The subsequent nonlinearly system of micropolar liquid and the dust particle phases are solved numerically via an efficient, tridiagonal, iterative, implicit finite difference technique using FORTRAN software. Aspects of distinct emerging variables on the computations (carrier and dust-particle phases of velocity and temperature) are illustrated through tables and drawn graphical, also Nusselt number and shear and couple stresses factor are given as functions of suction variables. Results point out that an increment in the suction variable or the relative density parameter tends to enhance the local Nusselt number. The present computations are validated by favorable comparisons with earlier published data.

A novel study on time-dependent viscosity model of magneto-hybrid nanofluid flow over a permeable cone: applications in material engineering

The dominating features of hybrid nanofluid such as high heat transfer rates, excellent electrical and thermal conductivity, and low cost, have been successfully attracted the attention of global researchers. In light of these amazing features, the current mathematical research explores the effects of variable viscosity on radiative magneto-hybrid nanofluid (Cu–Fe $$_{3}$$ O $$_{4}$$ /water) flow over a vertical cone inside porous medium. In addition, variable heat flux relation with boundary layer flow in the presence of heat generation/absorption is scrutinized. The Crank–Nicolson scheme together with Thomas algorithm is implemented to obtain the numerical solutions of constructed mathematical model with the aid of MATLAB software. The impact of various controlling parameters on virtual flow properties, temperature and velocity is scrutinized, and the obtained outcomes are exhibited graphically. The physically important quantities such as heat transfer coefficient and wall shear stress are evaluated versus governing constraints, and the results are summarized in the tables and illustrated graphically as well. The results unveil that the thermal performance of the system increases in the presence of nanoparticles, magnetic field and thermal radiation. Moreover, velocity of the fluid increases due to high permeability effects. The results of this work may have useful applications in materials science and engineering.

MHD Natural Convection Flow of Tangent Hyperbolic Nanofluid Past a Vertical Permeable Cone

MHD Natural Convection Flow of Tangent Hyperbolic Nanofluid Past a Vertical Permeable Cone

Modeling a Flow around Permeable Surfaces

The paper presents a method for calculating a flow around a permeable surface using a set of bodies modeling the impermeable part of the surface. The permeable surface is simulated by a finite relatively small number of elements determined by the available computer processing capabilities. The similarity between the aerodynamic properties of the surface in the mathematical model and the real surface is provided by the geometric similarity between the shape of the surface elements and the equal value of the permeability coefficient. Comparison of the calculation results with the experimental findings shows the possibility of a reasonably reliable prediction for the aerodynamic properties of permeable surfaces. An example is given of calculating the flow around tori with different geometric shapes, which shows that calculations can be carried out in a wide variation range of the permeability coefficient. Examples of calculating the flow around a permeable cone and cylinder are presented to demonstrate the possibility of modeling flows in the vicinity of complex configurations. A software package for modeling two-dimensional plane and axisymmetric flows near permeable surfaces is implemented.

Aspects of homogeneous-heterogeneous reactions on natural convection flow of micropolar fluid past a permeable cone

Boundary layer solutions are introduced in order to provide a numerical treatment of nonlinear steady natural convection flow of non-Newtonian micropolar fluid due to an isothermal vertical permeable cone with the impact of homogeneous-heterogeneous reactions. The resulting transformed boundary layer flow equations are solved numerically by the aid of implicit finite difference technique. Additionally, the fluctuations of skin friction, couple stress coefficients and Nusselt number for various interesting sundry parameters are depicted graphically and discussed. From the obtained results, the coefficient of couple stress increases for larger values of surface temperature exponent n whereas reverse trend is clarified through vortex viscosity parameter K. Once again, it is found from current contribution that concentration of the micropolar fluid is decreases function by increasing the strength of homogeneous and heterogeneous reactions. The code of numerical technique is validated by comparing our data with previous published contributions and a good agreement is given.

Effects of ramped wall temperature and concentration on viscoelastic Jeffrey’s fluid flows from a vertical permeable cone

In thermofluid dynamics, free convection flows external to different geometries such as cylinders, ellipses, spheres, curved walls, wavy plates, and cones play a major role in various industrial and process engineering systems. The thermal buoyancy force associated with natural convection flows can exert a critical role in determining skin friction and heat transfer rates at the boundary. In thermal engineering, natural convection flows from cones has gained exceptional interest. A theoretical analysis is developed to investigate the nonlinear, steady-state, laminar, non-isothermal convection boundary layer flows of viscoelastic fluid from a vertical permeable cone with a power-law variation in both temperature and concentration. The Jeffery’s viscoelastic model simulated the non-Newtonian characteristics of polymers, which constitutes a novelty of the present work. The transformed conservation equation for linear momentum, energy, and concentration are solved numerically under physically viable boundary conditions using the finite-difference Keller box scheme. The impact of Deborah number (De), ratio of relaxation to retardation time (λ), surface suction/injection parameter (fw), power-law exponent (n), buoyancy ratio parameter (N), and dimensionless tangential coordinate (ξ) on velocity, surface temperature, concentration, local skin friction, heat transfer rate, and mass transfer rate in the boundary layer regime is presented graphically. It is observed that increasing values of De reduces velocity whereas the temperature and concentration are increased slightly. Increasing λ enhance velocity, however, reduces temperature and concentration slightly. The heat and mass transfer rate are found to decrease with increase in De and increase with increasing values of λ. The skin friction is found to decrease with a rise in De, whereas it is elevated with increasing values of λ. Increasing values of fw and n decelerates the flow and also cools the boundary layer, i.e., reduces temperature and also concentration. The study is relevant to chemical engineering systems, solvent, and polymeric processes.

Modeling natural convection boundary layer flow of micropolar nanofluid over vertical permeable cone with variable wall temperature

This paper discusses the natural convection boundary layer flow of a micropolar nanofluid over a vertical permeable cone with variable wall temperatures. Non-similar solutions are obtained. The nonlinearly coupled differential equations under the boundary layer approximations governing the flow are solved numerically using an efficient, iterative, tri-diagonal, implicit finite difference method. Different experimental correlations for both nanofluid effective viscosity and nanofluid thermal conductivity are considered. It is found that as the vortex-viscosity parameter increases, both the velocity profiles and the local Nusselt number decrease. Also, among all the nanoparticles considered in this investigation, Cu gives a good convection.

Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating

Heat Transfer In MHD Viscoplastic Fluid Flow from a Vertical Permeable Cone with Convective Heating

Magnetohydrodynamics Flow of Non-Newtonian Fluid from a Vertical Permeable Cone in the Presence of Thermal Radiation and Heat Generation/Absorption

The nonlinear, steady state magnetohydrodynamics natural convection boundary layer flow, heat and mass transfer of an viscoelastic incompressible Jeffrey’s fluid from a vertical permeable cone with thermal radiation and heat generation/absorption effects is investigated in this article. The transformed conservation equations are solved numerically subject to physically appropriate boundary conditions using a versatile, implicit finite-difference Keller box technique. The Rosseland diffusion algebraic approximation is utilized to simulate thermal radiation effects. The surface of the cones is maintained at a constant temperature and concentration with mass flux present. Excellent correlation of the present results with previous studies is obtained to validate the numerical code. The influence of Deborah number (De), ratio of relaxation to retardation times ( $$\lambda $$ ), radiation parameter (F), heat generation/absorption parameter ( $$\Delta $$ ), suction/injection parameter ( $$f_{w}$$ ), magnetic parameter (M) and dimensionless tangential coordinate ( $$\xi $$ ) on velocity, temperature and concentration evolution in the boundary layer regime are examined in detail. Also, the effects of these parameters on local skin friction, heat transfer rate and mass transfer rate are investigated.

Effects of internal heat generation and Soret/Dufour on natural convection of non-Newtonian fluids over a vertical permeable cone in a porous medium

This investigation examines numerically the combined heat and mass transfer of a uniform blowing/suction, non-Newtonian power-law fluid, and the effects of internal heat generation on natural convection adjacent to a vertical cone in a porous medium in the presence of Soret/Dufour effects. The surface of the vertical cone has a uniform wall temperature and a uniform wall concentration (UWT/UWC). A non-similarity analysis is carried out, and the transformed governing equations are solved using the Keller box method. The effects of the Dufour parameter, the Soret parameter, the Lewis number, the buoyancy ratio, the power-law index of the non-Newtonian fluid, the blowing/suction parameter and the internal heat generation coefficient on the heat and mass transfer characteristics were elucidated. In general, for the case of blowing, both the local Nusselt number and the local Sherwood number decrease. This trend reversed for suction of fluid. The local Nusselt (Sherwood) number decreases (increases) as the internal heat generation coefficient A∗ is increased. Increasing the non-Newtonian fluid n reduces both the local Nusselt number and the local Sherwood number. The physical aspects of the problem are discussed in detail.