Analytical approach in higher predict residual error on MHD mixed convective motion of MoS2 engine-oil based nanofluid

We obtain the clean semi-analytical solutions with method of directly defining inverse mapping (MDDiM) to the system of nonlinear equations arising in the magnetohydrodynamic (MHD) convection motion of Molybdenum disulfide (MoS2) engine-oil intrinsic nanofluid in a circumnavigatethe structure is considered for analysis. Finding the solutions by using MDDiM is a novel idea and first time solving for the system of nonlinear partial differential equations. We have chosen inverse linear mapping for the five-term solution and it emphasizes by residual error and this gives the low error (10−2 to 10−17) and can easily derive deformation terms by spending very low CPU time. Based on the proposed method, the convergence rate, accuracy, and efficiency of the governing equations are demonstrated, and result outputs shown in tabular and graphically, which exhibit meaningful structures and advantages in science and engineering.

Numerical analysis of unsteady momentum and heat flow of dusty tangent hyperbolic fluid in three dimensions

This paper explores the impact of MHD and viscous dissipation with joule heating on convective stretching flow of dusty tangent hyperbolic fluid over a sheet in 3D. A time-dependent magnetic field is applied along the z-axis and the sheet being stretched along the xy-plane. The fluid and dust particles motions are coupled only through drag and heat transfer between them. The effect of viscous dissipation with convection is appreciable when the generated kinetic energy becomes appreciable as compared to the amount of heat transferred. A well known bvp4c method has been used to find the fruitful results. Graphs and tables show the facts and figures for physical properties according to different parameters. The main findings are that Increase in power law index, magnetic field, Weissenberg effect, concentration of dust particles, and unsteadiness parameter reduces the flow of fluid and solid granules.

Analytical investigation of magnetized 2D hybrid nanofluid (GO + ZnO + blood) flow through a perforated capillary

The hydrothermal features of unsteady, incompressible, and laminar hybrid nanofluid motion through a porous capillary are analytically studied in the magnetic field presence. The hybrid nanofluid (GO + ZnO + Blood) is synthesized by blending nanomaterials of graphene oxide and zinc oxide with blood acting as the host fluid. The mathematical model of the flow comprises of a coupled nonlinear set of partial differential equations (PDEs) satisfying appropriate boundary conditions. These equations are reduced to ordinary differential equations (ODEs) by using similarity transformations and then solved with homotopy analysis method (HAM). The impacts of various pertinent physical parameters over the hybrid nanofluid state functions are examined by displaying 2 D graphs. It has been observed that the fluid velocity mitigates with the varying strength of M, A₀, N₀, and N₁. The enhancing buoyancy parameter ϵ augments the fluid velocity. The increasing Prandtl number causes to reduce, while the enhancing A₀, B, and N₂ augment the hybrid nanofluid temperature. The fluid concentration mitigates with the higher Schmidt number values and A₀, and augments with the increasing Soret number strength. The augmenting magnetic field strength causes to enhance the fluid friction, whereas the convective heat transfer increases with the Prandtl number rising values. The rising Sherwood number drops the mass transfer rate of the fluid. The achieved results are validated due to the agreement with the published results. The results of this computation will find applications in biomedicine, nanotechnology, and fluid dynamics.

On hybrid nanofluid Yamada-Ota and Xue flow models in a rotating channel with modified Fourier law

The present study analyzes the comparison of the Xue and Yamada-Ota models for a hybrid nanoliquid flow in porous media occurring amidst a rotating channel with surface catalyzed reaction. Here, the hybrid nanofluid flow is studied under the effect of Cattaneo Christov (C-C) heat flux and homogenous heterogeneous (Homo-Hetero) chemical reaction with entropy generation minimization analysis. The assumptions of the viscosity of hybrid nanomaterial fluid and variable thermal conductivity are added characteristics to the inimitability of the flow model. Two kinds of nanoparticles, namely single-wall carbon nanotubes and multi-wall carbon nanotubes with ethylene glycol (EG) as the base fluid are considered. Carbon nanotubes possess diverse applications in daily life including energy storage, drug delivery, cancer treatment, tissue generation, platelet activation, magnetic force microscopy, and microwave absorption, etc. Similarity transformations are utilized to translate the modeled problem into the coupled ordinary differential equations. This system of ordinary differential equations is addressed numerically. The graphical outcomes are scrutinized by utilizing the MATLAB software bvp4c function. The results revealed that the velocity profile decreases for the higher rotation parameter while increases for the escalated slip parameter. Furthermore, the fluid concentration and temperature are on the decline for higher surface catalyzed reaction and thermal relaxation parameters respectively.

Role of Cattaneo-Christov heat flux in an MHD Micropolar dusty nanofluid flow with zero mass flux condition

This investigation aims to look at the thermal conductivity of dusty Micropolar nanoliquid with MHD and Cattaneo–Christov heat flux flow over an elongated sheet. The novelty of the envisioned mathematical model is augmented with the added impacts of the heat source/sink, chemical reaction with slip, convective heat, and zero mass flux boundary conditions. The salient feature of the existing problem is to discuss the whole scenario with liquid and dust phases. The graphical depiction is attained for arising pertinent parameters by using bvp4c a built-in MATLAB function. It is noticed that the thermal profile and velocity field increases for greater values of liquid particle interaction parameter in the case of the dust phase. An escalation in the thermal profile of both liquid and dust phases is noticed for the magnetic parameter. The rate of mass transfer amplifies for large estimates of the Schmidt number. The thickness of the boundary layer and the fluid velocity are decreased as the velocity slip parameter is augmented. In both dust and liquid phases, the thermal boundary layer thickness is lessened for growing estimates of thermal relaxation time. The attained results are verified when compared with a published result.

Determination of in vivo biological activities of Dodonaea viscosa flowers against CCL4 toxicity in albino mice with bioactive compound detection

Dodonaea viscosa L.Jacq. is an evergreen shrub and native to Asia, Africa, and Australia. It has been used as traditional medicine in different countries. The foremost objective of the current study was to discover the protective potential of D. viscosa flowers Methanol (DVM) and Chloroform (DVC) extracts against CCL₄ induced toxicity in mice. This study was intended to identify phytochemicals through HPLC, GCMS, and FT-IR, as well as in vitro antioxidant and in vitro anti-tuberculosis activity. Our comprehensive findings indicate that Dodonaea viscosa is valuable and widespread herbal medicine through therapeutic potentials for curing various ailments. Dodonaeaviscosa flowersare found to have a protective effect against oxidative stress produced by CCL₄ in the liver, kidney, and spleen. The intake of DV extracts restored the level of hepatic enzymes (ALP, AST ALT, and Direct bilirubin), hematological parameters (RBCs, WBCs, and Platelets), total protein, and liver antioxidant enzymes (SOD, GPx, and CAT) after a decline in levels by CCL₄. Histopathological results discovered the defensive effect of 300 mg/kg of DVM extract against CCL₄ induced damage, thus having an improved protective effect compared to DVC and control. As a result of metabolite screening, the total flavonoids and total phenolics were present in abundance. A phytochemical investigation by HPLC identified gallic acid, epicatechin, cumeric acid, flavonoids, while GCMS estimated oleic acid (Octadecenoic acid) (C₁₈H₃₄O₂), Stearic acid (C₁₈H₃₆O₂), Ricinoleic acid (C₁₈H₃₄O₃), and Cedrol (C₁₅H₂₆O). DVM extract exhibited resistance against in vitro Mycobacterium tuberculosis strains. So this study proposed that the protective effect of DV against oxidative damage induced in the liver, kidney, and spleen can be correlated to the antioxidant compounds.

Dispersion of metallic/ceramic matrix nanocomposite material through porous surfaces in magnetized hybrid nanofluids flow with shape and size effects

Matrix nanocomposites are high performance materials possessing unusual features along with unique design possibilities. Due to extraordinary thermophysical characteristic contained by these matrix nanocomposites materials they are useful in several areas ranging from packaging to biomedical applications. Being an environment friendly, utilization of nanocomposites offer new technological opportunities for several sectors of aerospace, automotive, electronics and biotechnology. In this regards, current pagination is devoted to analyze thermal features of viscous fluid flow between orthogonally rotating disks with inclusion of metallic matrix nanocomposite (MMNC) and ceramic matrix nanocomposites (CMNC) materials. Morphological aspects of these nanomaterials on flow and heat transfer characteristics has been investigated on hybrid viscous fluid flow. Mathematical structuring of problem along with empirical relations for nanocomposites materials are formulated in the form of partial differential equations and later on converted into ordinary differential expressions by using suitable variables. Solution of constructed coupled differential system is found by collaboration of Runge–Kutta and shooting methods. Variation in skin friction coefficient at lower and upper walls of disks along with measurement about heat transfer rate are calculated against governing physical parameters. Impact of flow concerning variables on axial, radial components of velocity and temperature distribution are also evaluated. Contour plots are also drawn to explore heat and thermal profiles. Comparison and critical analysis of MMNc and CMNc have been presented at lower and upper porous disks. Our computed analysis indicates that hybrid nanofluids show significant influence as compared to simple nanofluids with the permutation of the different shape factors.

Nonlinear radiative Maxwell nanofluid flow in a Darcy-Forchheimer permeable media over a stretching cylinder with chemical reaction and bioconvection

Studies accentuating nanomaterials suspensions and flow traits in the view of their applications are the focus of the present study. Especially, the usage of such materials in biomedical rheological models has achieved great importance. The nanofluids' role is essential in the cooling of small electronic gizmos like microchips and akin devices. Having such exciting and practical applications of nanofluids our goal is to scrutinize the Maxwell MHD nanofluid flow over an extended cylinder with nonlinear thermal radiation amalgamated with chemical reaction in a Darcy-Forchheimer spongy media. The presence of gyrotactic microorganisms is engaged to stabilize the nanoparticles in the fluid. The partial slip condition is considered at the boundary of the stretching cylinder. The Buongiorno nanofluid model is betrothed with impacts of the Brownian motion and thermophoresis. The analysis of entropy generation is also added to the problem. The highly nonlinear system is tackled numerically is addressed by the bvp4c built-in function of the MATLAB procedure. The outcomes of the prominent parameters versus embroiled profiles are portrayed and conversed deeming their physical significance. It is perceived that fluid temperature is augmented for large estimates of the radiation and Darcy parameters. Moreover, it is noticed that the magnetic and wall roughness parameters lower the fluid velocity. To corroborate the presented results, a comparison of the current study with a previously published paper is also executed. An outstanding correlation in this regard is attained.

Theoretical analysis of non-Newtonian blood flow in a microchannel

BACKGROUND

In this work the theoretical analysis is presented for a electroosmotic flow of Bingham nanofluid induced by applied electrostatic potential. The linearized Poisson-Boltzmann equation is considered in the presence of Electric double layer (EDL). A Bingham fluid model is employed to describe the rheological behavior of the non-Newtonian fluid. Mathematical formulation is presented under the assumption of long wavelength and small Reynolds number. Flow characteristics are investigated by employing Debye-Huckel linearization principle. Such preferences have not been reported previously for non-Newtonian Bingham nanofluid to the best of author's knowledge.

METHOD

The transformed equations for electroosmotic flow are solved to seek values for the nanofluid velocity, concentration and temperature along the channel length.

RESULTS

The effects of key parameters like Brinkmann number, Prandtl number, Debey Huckel parameter, thermophoresis parameter, Brownian motion parameter are plotted on velocity, temperature and concentration profiles. Graphical results for the flow phenomenon are discussed briefly.

CONCLUSIONS

Non-uniformity in channel as well as yield stress τ₀ cause velocity declaration for both positive and negative values of U. Nanofluid temperature is found an increasing function of electro osmotic parameter κ if U is positive while it is a decreasing function if U is negative. A completely reverse response is seen in case of concentration profile. The thermophoresis parameter Nt, the Brow nian motion parameter Nb and Brinkman number Br cause an enhancement in temperature. The results are new in case of U.

Inspection of hybrid based nanofluid flow over a curved surface

BACKGROUND

In this paper, we discussed the Cu - Al₂O₃/H₂O (Hybrid nanofluid) flow over permeable exponentially stretching channel. The hybrid nanofluid involves two kinds of nanoparticles along with base fluid (pure water). Our research objective is to evaluate the heat transfer rate of hybrid nanofluid.

METHOD

The resulting system is numerically tackled via shooting method (bvp4c).

RESULTS

The hybrid nanofluid gains larger rate of heat transfer as compared to simple nanofluid. The impact of non-dimension parameter on temperature profile, boundary layer will be analyzed for enormous values of dimensionless parameter. Also, boundary layer thickness when γ < 0 (injection) and when γ > 0 (suction) will be compared. The present results with the existence literature will be compared for justification/validation.

Corrigendum to "Transportation of magnetized micropolar hybrid nanomaterial fluid flow over a Riga curface surface" [Comput Meth Prog Bio 185 (2020) 105,136]

This corrigendum corrects the dimensions of partial differential equations in the paper [1], where these mistakes are occurred during typing processes. But the results in [1] does not affect the scientific and mathematical validity of the paper.

Theoretical investigation of peristaltic activity in MHD based blood flow of non-Newtonian material

OBJECTIVE

The flow kinetics generated with a pulsatile wave that travel along the channel has prime relevance in various processes in physiology and industry. The aim here is to investigate such phenomenon with Bingham fluid with chemically reacting species in terms of their homogeneous and heterogeneous characteristics.

METHOD

To formulate the mathematical descriptions Bingham fluid with heat and mass equations is accounted. Using the similarity solutions, the proposed leading partial differential equations of the flow phenomena transferred into the nonlinear ordinary differential equations and boundary conditions are solved analytically. Such considerations perceive prime importance in medicine and genetics where heterogeneity in a cell makes several diseases difficult to execute.

RESULTS

Further the physical aspect of human tabular organs i.e., porosity in a medium is retained in the analysis. The utility of magnetic field in reference to medicine is employed. The walls are considered flexible. The whole problem is set to lubrication approach for simplification of resulting system. The attained results are tested on physical grounds by plotting graphs.

CONCLUSION

It is analyzed that the Hartman number and porosity parameter reduce the velocity and temperature profiles. The elastic wall parameters E₁ and E₂ enhances both the velocity and temperature fields while E₃ enrolls an adverse effect.

Numerical analysis of water based CNTs flow of micropolar fluid through rotating frame

BACKGROUND

In this article, the nanomaterial flow of micropolar fluid in rotating frame is considered. The SWCNT and MWCNT with base fluid namely pure water is also taken into account to analyze the flow behavior over stretching surface. Mathematical model have been constructed under the nanomaterial of micropolar fluid.

METHOD

The governing equations have been developed in the form of system of partial differential equations. The partial differential equations are transformed into ordinary differential equations using similarity transformations. The transformed system has been solved through MAPLE software.

RESULTS

The physical parameters like as thermal slip effects, velocity slip effects and magnetic hydrodynamics on the micropolar nanofluid are presented by tables and graphs. Surprisingly in the rotating parameter, F''(0) and - θ'(0) increases for higher values of the rotating parameter while opposite to be noted for G''(0). The Nusselt number and skin friction increases for higher values of micropolar parameter but MWCNT achieves higher heat transfer as associated to SWCNT.

Transportation of magnetized micropolar hybrid nanomaterial fluid flow over a Riga curface surface

We deliberated the flow of magnetized micropolar hybrid nanoparticles fluid flow over the Riga curved surface. Exponentially stretching and slip effects are also considered in this analysis. Mathematical model has been established on the base of assumptions in the form of partial differential equations. Such equations are renewed into ordinary differential equations utilizing similarity transformations. Reduced model has been elucidated by means of bvp4c scheme. Impacts of physical parameters namely as stretching parameter R₀, curvature parameter K, solid nanoparticle volume fraction Φ₂, micropolar parameter K₁, microgyration parameter n, thermal slip parameter M, partial slip parameter γ, modified Harman number ∅ and dimensionless parameter ω. Magnetic parameter β and reciprocal magnetic Prandtl number λ are depicted by means of numerically and graphically. Our results help in the field of engineering and industrial. This model is presented in the first time through literatures. Our interest of study is to be analyzed about the heat transfer rate of magnetized micropolar hybrid nanomaterial fluid over a Riga curved surface. Comparison with the literature has been worked out and excellent agreement is found.

Numerical simulation of electroosmosis regulated peristaltic transport of Bingham nanofluid

The effects of slip condition and Joule heating on the peristaltic flow of Bingham nanofluid are investigated. The flow is taken in a porous channel with elastic walls. Mathematical formulation is presented under the assumption of long wavelength and small Reynolds number. The transformed equations for the flow are solved to seek values for the nanoparticles velocity, concentration and temperature along the channel length. Graphs are plotted to evaluate the behavior of various physical parameters on flow quantities in both slip and no-slip cases. The main features of the physical parameters are highlighted on the inclined non uniform channel. The results show an increment in velocity with rise in inclination and porosity while it reduces with magnetic field. Moreover, nanofluid favors the heat transfer and decline the concentration.

Nanoparticles individualities in both Newtonian and Casson fluid models by way of stratified media: A numerical analysis

The current paper contains the simultaneous analysis of both Newtonian and non-Newtonian nanofluid models. The fluid flow is achieved by considering the no-slip condition subject to a stretched cylindrical surface. The flow regime manifests with pertinent physical effects, namely temperature stratification, concentration stratification, thermal radiation, heat generation, magnetic field, dual convection and chemical reaction. The strength of fluid temperature and nanoparticles concentration adjacent to an inclined cylindrical surface is assumed to be higher than the ambient flow field. A mathematical model is developed in terms of differential equations. A self-constructed numerical algorithm is executed to report the numerical solution. The resultant annotations are illustrated through both tables and graphs. It is noticed that the Casson fluid shows significant variations with respect to the involved physical parameters as compared to the Newtonian fluid model. Moreover, the analysis is certified through comparison with the existing values in a limiting sense.

Homogenous-heterogeneous reactions in MHD flow of Powell-Eyring fluid over a stretching sheet with Newtonian heating

This article addresses the effects of homogenous–heterogeneous reactions on electrically conducting boundary layer fluid flow and heat transfer characteristics over a stretching sheet with Newtonian heating are examined. Using similarity transformations, the governing equations are transformed into nonlinear ordinary differential equations. The constricted ordinary differential equations are solved computationally by shooting technique. The impact of pertinent physical parameters on the velocity, concentration and temperature profiles is discussed and explored via figures and tables. It is clear from figures that the velocity profile reduces for large values of fluid parameter B and Hartmann number H. Skin friction coefficient decreases for large values of Hartmann number H and fluid parameter B. Also, heat transfer rate monotonically enhances with conjugate parameter of Newtonian heating γ and Prandtl number Pr.

A mechanistic investigation of the bioavailability enhancing potential of lysergol, a novel bioenhancer, using curcumin

Lysergol (LYZ), a novel bioenhancer, has shown potential to enhance the bioavailability of curcumin.