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Our study delves into the dynamics of a convective Magneto-Hydrodynamic Bioconvective Nanofluid model (MHD-BCNFM) flowing over a convectively heated stretched sheet. To accomplish this, we utilize the distinctive capabilities of the Supervised Stochastic Approach for Computational Analysis (SSACA). By integrating similarity transformations, we convert the partial differential equations (PDEs) governing the system into coupled ordinary differential equations (ODEs). We generate the dataset for our approach using the Adam numerical technique specifically tailored for the (MHD-BCNFM). Achieving this involves systematic modulation of parameters such as λ , bioconvection Péclet number P e , Bioconvection constant σ , Brownian motion parameter N b , and thermophoresis parameter N t. "Moreover, we utilize a reference dataset to compute numerical values of various physical quantities in the (MHD-BCNFM) employing SSACA-based Artificial Intelligence methods. The effectiveness of our devised SSACA approach is demonstrated by a negligible mean squared error, ranging from approximately 10−8 to 10−10. Histograms exhibit a maximum error range of 10−5, closely aligning with optimal correlation/regression measures. Outstanding performance metrics in terms of Mean Squared Error (MSE) are attained at levels such as l 9.93E−12, 1.07E−11, 6.28E−10, 1.43E−11, 2.09E−09, 3.65E−11, 2.97E−11, and 2.80E−13 against 320, 430, 209, 85, 356, 295, 66, and 136 epochs. A comparative study between the proposed and reference datasets underscores the authenticity and precision of SSACA, supported by error analyses ranging from E-05 to E-09 across all scenarios. [ABSTRACT FROM AUTHOR]

Generation of fluid flow due to simultaneous occurrence of heat and mass diffusions caused by buoyancy differences is termed as double diffusion. Pervasive applications of such diffusion arise in numerous natural and scientific systems. This article investigates double diffusion in naturally convective flow of water-based fluid saturated in corrugated enclosure and containing hybrid nano particles composed of Copper (Cu) and Alumina (Al2O3). Impact of uniformly applied magnetic field is also accounted. To produce thermosolutal convective potential circular cylinder of constant radius is also adjusted by providing uniform temperature and concentration distributions. Finite element approach is capitalized to provide solution of utilized governing equations by utilizing Multiphysics COMSOL software. Wide-range of physical parameters are incorporated to depict their influence on associated distributions (velocity, temperature and concentration). Interesting physical quantities like Nusselt number, Sherwood numbers are also calculated against involved sundry parameters. It is note worthily observed that maximum strength of stream lines (ψ max ) is 3.3 at ϕ = 0 and drops to 1.2 when ϕ is increased to 0.04. Furthermore, in the hydrodynamic case (Ha = 0), it is observed that the velocity field exhibits an increasing trend compared to the hydromagnetic case H a ≠ 0 , which is proved from the attained values of stream-function i.e., | ψ | max = 11 (in the absence of a magnetic field) and | ψ | max = 3.5 (in the presence of a magnetic field). It is revealed from the statistics of Nusselt number that increase in volume fraction of nano particles from 0 to 0.4, heat flux coefficient upsurges up to 7% approximately. Since, present work includes novel physical aspects of thermosolutal diffusion generated due to induction of hybrid nanoparticles in water contained in corrugated enclosure, so this study will provide innovative thought to the researchers to conduct research in this direction. [ABSTRACT FROM AUTHOR]

Since the last two decades, researchers have paid significant attention to nanofluid because of their high rates of thermal conduction. Due to the widespread usage of these materials in several types of thermal transport devices, including nuclear reactor cooling, car generators, petrochemicals, industrial heating and cooling needs, as well as heat transfer technology. Applications for non-Newtonian liquid can be found in a wide range of fields, notably chemical nuclear reactor, paper manufacturing, petroleum engineering, processes, food processing, geophysics, biological sciences and many others. To determine the properties at different shear rates When the shear rate is significantly increased, a cross fluid model was developed to help with the difficulty. Main theme of existing work is to scrutinize the magneto-bioconvection aspects for 3D nonlinear material with triple stratification phenomenon. Additionally, we have examined heat-mass efficacy utilizing time-dependent thermal relaxation phenomenon and Buongiorno nanofluid model. It has been proposed that the horizontal stretching sheet has been inserted in Darcy-Forchheimer porous medium. Features of magnetohydrodynamics and activation energy are considered in cross fluid model. Furthermore, to improving the fluid's thermal properties, the combination of microorganisms (microbes) in nanofluids also causes the flow to be stable. With the implantation of similarity variables, we have transformed non-linear PDEs into non-linear ODEs. Utilizing bvp4c scheme (MATLAB pregame), the governing system of ODEs are solved. The tabular and graphical representations are used to illustrate the results. By raising the concentration relaxation and Brownian motion parameters, a considerable decrease in concentration profile is seen. The development of thermal Biot number and Forchheimer number approximations has advanced the temperature field, which is an interesting observation. The fluid's microorganism profile is assumed to be deteriorating based on L b and δ 1. [ABSTRACT FROM AUTHOR]

The current communication is designed by keeping in the mind high heat transfer capabilities of nanoliquids with the dispersion of diversified-natured nanoparticles in poorly conducting base liquids. Here, an amalgamation of metallic (Cu) and hybridization of metallic and non-metallic oxide (Cu-TiO2) nanoparticles to uplift thermophysical attributes of water is deliberated. The magnetically affected flow between rotating disks under the impact and permeability aspect is assumed. Empirical relations for effective dynamic viscosity, density, and heat capacitance to show mesmerizing features of obliged nanoparticles are also expressed. In addition, mathematical relations also depend on morphological factors like shape, size, and diameter of inducted nanoparticles. The mathematical formulation of the problem is conceded in the form of a system of ODEs after using similarity transformation on dimensional PDEs. Simulations of the complex coupled differential structure are solved by using a numerical approach by employing shooting and Runge–Kutta procedures jointly. The impact of flow concerning variables on associated distributions is revealed through tabular and graphical manner. Quantities of engineering interest associated with work like wall friction and thermal flux coefficients at walls of the disk are also calculated. It is deduced from an examination that the addition of metallic particles raises heat transfer more than non-metallic particles. A significant impression of magnetic field on shear stress is executed by hybrid nanoparticles along the surface of disks. In addition, elevation in Nusselt number and depreciation in skin friction coefficient is revealed against increasing magnitude of nanoparticle volume fraction. A positive trend in skin friction coefficient is manifested against the increasing magnitude of Reynold number. It is also observed that by increasing the size and shape of hybrid nanoparticles thermal conductivity and viscosity of the base fluid increases. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

The current study intends to analyze the significance of the nano-layer on Newtonian fluid consisting of carbon nano-materials has been considered. The special absorbent channel with moving porous walls under the effect of external MHD is manifested. Mathematical modeling of the concerning problem is done in the form of the partial differential structure under the boundary layer theory with effective structures of thermophysical properties. The core features of capitalized induced carbon nano-particles along with base fluid are presented by empirical relations and utilized during the formulation of work. Attained expressions are transmuted because of dimensionless ODE's by obliging transformation approach. The solution of attained ODE's is heeded with the R-K method along with the shooting procedure. Using applicable similarity transforms, the governing equations are converted into a system of nonlinear ordinary differential equations which are solved by using the 4th-order R-K (Runge-Kutta) technique together with shooting methodology. The phenomena of nano-layer have been also modeled mathematically. The motivation behind this section is to demonstrate the behavior of involved parameters on velocity and temperature profiles. A meticulous table is presented in which the effects of involved parameters on shear stress and heat transfer rate are discussed. Specially presented the impact of the thickness of the nano-layer and radius of the particle on the temperature profile. Heat transfer rate increases due to an increase in the thickness of nano-layer. Inverse proportionality exists between the radius of nano-particle and thermal conductivity. The consequences of this research may be advantageous to the applications of biotechnology and industrial motive. Image 1 • A new mathematical relation for nano-layer due to the presence of CNTs is developed. • Important physical quantities are observed under the effects of nano-layer, radius, and volume fraction of the CNTs. • Increasing the thickness of the nano-layer, thermal efficiency gradually tends to increase. • Injection of CNTs under the effect of MHD also enhances temperature profile. • Comparison is made between SWCNTs and MWCNTS associated with porous surfaces. [ABSTRACT FROM AUTHOR]