Search

In science and engineering, analytical and numerical methods have been utilized to compute the solutions of partial differential equations. Mathematicians are now employing artificial neural network (ANN) to investigate complex problem involving highly nonlinear partial differential equations. The aim of current study is to implement the Bayesian regularization methodology (BRM) to investigate the heat generation/absorption in thermally radiative nanofluid flow over stretched surface embedded in a porous medium with slip conditions. The flow governing equations have been obtained through boundary layer approximation theory. Reference data has been accumulated using the simplified form of equations with the help of "ND Solver" in Mathematica. Different scenarios have been created, and for each scenario, three different cases have been developed. Additionally, the reference data has been trained, tested, and validated using Bayesian regularization methodology in MATLAB. The reference data has been distributed in the following portions, training 71% and testing and validation 15% each, during simulation of each scenario. The proposed methodology's effectiveness and accuracy have been validated through generated mean square error (MSE), error histograms (EH), proposed solutions, absolute errors (AE) comparative comparison plots, and regression plots. It has been observed that maximum absolute error 10−08 found for mass suction effect. Convergence of proposed methodology has been validated with mean square error. It has been observed that with high applied magnetization force and permeability motion of fluid declines whereas opposite behavior has been observed for non uniform inertial force. It has been noted that when slip mechanism is significant, contraction has been observed in thermal boundary layer of fluid. Present outcomes of drag coefficient and heat transfer coefficient show good agreement with already published results. [ABSTRACT FROM AUTHOR]

Hybrid nanofluids are utilized in vast applications in heat transfer such as heat exchangers, solar trough collectors, and in fields, namely aerospace engineering, material science, and food processing. Hybrid nanofluids possess far higher thermal conductivity as compared to convectional fluids; keeping in view this feature, this study is conducted to investigate the impact of notable Prandtl hybrid nanofluid using mixture base working fluid on thermal characteristics of bioconvective flow. To further elaborate the thermal attributes of bioconvective flow, the Cattaneo-Christov heat flux (CCHF) model has been taken into consideration in the present formulation. The focus in this investigation is to examine the impact of Cattaneo-Christov heat flux (CCHF) in the presence of bioconvection and microorganism effects on the mixture-based Prandtl hybrid nanofluid over heated stretched surface. To develop the desired fluid model, the Prandtl fluid model has been taken into account. In this work, silver and magnetite nanoparticles have been incorporated to constitute our desired Prandtl hybrid nanofluid, whereas the base fluid comprises mixture of ethylene glycol/water (50%-50%). The developed mathematical model is highly nonlinear, so we have computationally solved it using the bvp-4c technique. It has been discovered that when thermal relaxation levels are kept in the range of 0.5 to 0.9, the temperature profile significantly improves consequently enhancing heat transfer coefficient over the heated surface. It has been found out that as the levels of bioconvection enhance, migration of motile microorganism declines abruptly, causing the reduction in fluid acceleration. Additionally, with constant magnetization and varying inclination angle, the momentum layer thickness has been observed to expand. Heat transfer coefficient rises by raising the values of magnetization, Rayleigh bioconvection number, and thermal relaxation number. Moreover, results achieved in this present study have been verified through comparison with already published results, and good agreement has been found. [ABSTRACT FROM AUTHOR]

Due to enhanced heat transfer rate, the nanofluid and hybrid nanofluids have significant industrial uses. The principal objective of this exploration is to investigate how thermal radiation influences the velocity and temperature profile. A water-based rotational nanofluid flow with constant angular speed Ω is considered for this comparative study. A similarity conversion is applied to change the appearing equations into ODEs. Three different nanoparticles i.e., copper, aluminum, and titanium oxide are used to prepare different nanofluids for comparison. The numerical and graphical outputs are gained by employing the bvp-4c procedure in MATLAB. The results for different constraints are represented through graphs and tables. Higher heat transmission rate and minimized skin friction are noted for triple nanoparticle nanofluid. Skin coefficients in the x-direction and y-direction have reduced by 50% in trihybrid nanofluid by keeping mixed convection levels between the range 3 < ϵ ≤ 11 . The heat transmission coefficient with raising the levels of thermal radiation between 0.5 < π ≤ 0.9 and Prandlt number 7 < Pr ≤ 11 has shown a 60% increase. [ABSTRACT FROM AUTHOR]

In the current work, the vibration and bending behaviour of hybrid sandwich plates is analysed using the finite element (FE) method. The sandwich plate's core is formed of polylactic acid (PLA), while the skins are strengthened with flax/glass fibers. Different arrangements of the skin layers of sandwich plates reinforced with flax and glass fibers were explored. A higher order theory-based FE model was used to predict the sandwich plates' natural frequencies and deflections. The FE model was validated by comparing the results obtained from the model with the literature results. The effects of stacking sequence, ply angles and end condition on the dynamic properties of sandwich plates have been studied in detail. Finally, the implications of stacking sequence on a hybrid sandwich plate that is subjected to mechanical loads are explored. The results of this study can provide valuable insights for the design and development of more efficient and cost-effective sandwich structures for various engineering applications. [ABSTRACT FROM AUTHOR]

The current paper discusses the numerical simulation results of the NePCM melting process inside an annulus thermal storage system. The TES system consists of a wavy shell wall and a cylindrical tube equipped with three fins. The enthalpy-porosity method was utilized to address the transient behavior of the melting process, while the Galerkin FE technique was used to solve the system governing equations. The results were displayed for different inner tube positions (right-left–up and down), inner cylinder rotation angle (0 ≤ α ≤ 3π/2), and the nano-additives concentration (0 ≤ ϕ ≤ 0.04). The findings indicated that high values of nano-additives concentration (0.4), bigger values of tube rotation angle (3π/2), and location of the tube at the lower position accelerated the NePCM melting process. [ABSTRACT FROM AUTHOR]

The present research articles focus on the transference traits of III acoustic tearing fracture mode in twin piezoelectric materials, i.e., (PZT-4 and PZT-5H) under impact loading. Using mathematical integral transforms, i.e., Laplace and Fourier together with Wiener–Hopf technique to get the solution of the problem using mixed boundary values. The existence of generalized Rayleigh interfacial wave is discussed and the solutions of the coupled fields are derived. For the mode III crack propagation in piezoelectric materials, an electro-acoustic surface wave, the Bluestein–Gulyaev wave, controls the crack propagation speed. The dynamic stress and displacement intensity factor of the interfacial crack propagation characteristics are expressed. The numerical results of the problem and dimensionless quantities for the same material combinations are presented and discussed in details. The outcomes show that the crack transmission is affected by the electromechanical coupling coefficient. Moreover, if the velocity of the dynamic crack transmission reaches the generalized Raleigh wave speed, the dynamic stress intensity factor will disappear. Furthermore, for a given time, the ratio of the dynamic stress intensity factor to load increases with the electromechanical coupling coefficient decreasing. Numerical examples are presented to highlight the result. Comparative study for the considered structure is done with piezoelectric-piezomagnetic bi-material structure for the better use. [ABSTRACT FROM AUTHOR]