Journal of Computational Applied Mechanics
Volume:55 Issue: 1, Mar 2024

The tidal wave in the Qiantang River, Hangzhou City, China is quite different from that of the KdV equation, it is a shock-like wave with a finite amplitude. This phenomenon has mathematicians adjusting their solitary wave models on how such waves behave. This paper applies the variational theory to insight into the energy behavior of the tidal wave, which can be modeled by the Benny-Luke equation, and the exp-function method is used to figure out the solution structure. This paper provides a new window for designing energy-harvesting devices from the shock-like waves.

The wire drawing process is an essential technique in mechanical and industrial operations in lots of applications. Therefore, the current article aims to employ different methodologies (i.e., experimental, numerical) to investigate the optimum operating conditions and lubrication type on the surface and mechanical quality of these wires. By examining the effects of die angle, drawing speed, and lubricant type on wire drawing outcomes, the research not only provides valuable insights into process optimization but also contributes to reducing defects and enhancing wire properties. Results demonstrate significant variations in tensile strength based on these parameters, highlighting the need for precise control over process variables to achieve desired outcomes consistently. Moreover, statistical analyses reveal substantial relationships between process variables and tensile strength, offering a deeper understanding of the underlying mechanisms driving wire drawing performance. Overall, this research not only advances the understanding of wire drawing processes but also offers practical insights for improving wire manufacturing techniques, ultimately bolstering product quality, reducing costs, and increasing competitiveness in the global market.

This paper presents size dependent stability analysis a cantilever micro laminated beam embedded in elastic medium by using the modified coupled stress theory which includes the length scale parameter. The micro beam subjected to compressive load is considered as three composite laminas and embedded in elastic medium which is modelled in the Winkler foundation model. In the obtaining of the governing equations, the energy principle is used. In the solution of the buckling problem, the energy based Ritz method is implemented with algebraic polynomials. In order to accuracy obtained expressions and used method, a comparative study is performed. Many parametric studies are presented in order to investigate the buckling of laminated micro beams. For this purpose, effects of stacking sequence of laminas, geometric parameters, length scale parameter, fiber orientation angle, the parameter of elastic medium on critical buckling loads of laminated micro beams are investigated.

In recent years, electrical appliances have become an integral part of human life, and efforts have been made to improve the quality and durability of electrical boards. One of the ways to improve the life of electrical boards is using cooling methods suitable for transferring the heat generated by the boards. In this paper, three different models of Case 1, Case 2, and Case 3 have been analyzed to provide an optimal model with the highest average Nusselt number. To achieve the optimal model the effect of heat source, the characteristics of hot and cold barriers and their locations on the flow field, heat transfer between two horizontal concentric cylinders with the presence of nanofluids were investigated. The results have shown that for all volume fractions, the Nusselt number increases with rising Riley number, as well as for the inner and outer cylinder, the value of the average Nusselt number increases at a constant Riley number with rising the volume fraction from 0 to 0.8%. Therefore, the highest Nusselt number occurs in volume fraction of 0.8% and Riley number of 〖10〗^5.

The research article investigates the behavior of a functionally gradedsemiconducting rod with internal heat source of length l under the thermal shock. A sudden heat source is applied to the left boundary ofthe finite rod. The equations of motion are solved analytically and the analytical expressions of displacement, carrier density, temperaturedistribution and stresses are obtained. The numerical values of these expressions are calculated and presented graphically to show the effect of non-homogeneity parameter on the components. The variations of the parameters are shown for different theories of thermoelasticity namely modiffed Green-Lindsay(MGL) theory, Green-Lindsay(GL) theory, Lord-Shulman(LS) theory and Coupled(CT) theory.

This study attempts to shed light on the analysis of the static behavior of simply supported FG type property gradient material beams according to an original refined 2D shear deformation theory. Young's modulus is considered to vary gradually and continuously according to a power-law distribution in terms of volume fractions of the constituent materials. The equilibrium equations are obtained by applying the principle of virtual work. The governing equilibrium equations obtained are thus solved by using the analytical model developed here and Navier's solution technique for the case of a simply supported sandwich beam. Moreover, Using the numerical results of the non-dimensional stresses and displacements are calculated and compared with those obtained by other theories. Two studies are presented, comparative and parametric, the objective of which is the first to show the accuracy and efficiency of the theory used and the second to analyze the mechanical behavior of the different types of beams under the effect of different parameters. Namely boundary conditions, the material index , the thickness ratio and the type of beam.

A three-dimensional Maxwell hybrid nanofluid under MHD effects is analyzed and shown across a stretched sheet. Molybdenum disulfide (MoS2) and graphene oxide (GO) nanoparticles combined with ethylene glycol (EG) make up the hybrid nanofluid. Coupled nonlinear partial differential equations are used to describe the controlling equations. These equations are then converted into coupled nonlinear ordinary differential equations using similarity transformations. Through the use of MATLAB programming and the bvp4c technique, these equations may be solved numerically. Figures and tables that illustrate the effects of the Deborah number, magnetic parameter, rotational parameter, and volume percentage of nanoparticles on temperature, velocity, skin friction coefficient, and Nusselt number have been studied. The salient characteristics are: The velocity decreases with increasing Deborah number, magnetic parameter, and rotational parameter values. The findings indicate that the surface temperature is increased by higher values of the Deborah number, magnetic parameter, and rotational parameter. The hybrid nanofluid exhibits greater values of temperature, velocity, and Nusselt number in comparison to the nanofluid. A comparison analysis agrees well with the previous studies.

This research investigates the numerical analysis of magnetohydrodynamic (MHD) mixed convection flow and heat transfer within a bottom lid-driven cavity filled with water-alumina (Al2O3) nanofluid. The cavity's sidewalls exhibit a wavy profile and are maintained at distinct temperatures. Cavity domain exhibit distinct free and force convections. These wavy walls, characterized by zigzag shapes determined by various wave amplitudes and their ratios (wave form), create a dynamic thermal environment. The top and bottom surfaces remain flat and well-insulated, while forced convection is induced by the drag of the bottom wall from left to right at a constant speed. Additionally, the bottom wall is subjected to a vertical magnetic field. The system of equations is discretized using the finite difference method. The numerical solutions are derived by the Gauss-Seidel iterative method. The study primarily focuses on investigating the effects of key parameters, including the wavy wall geometry, solid volume fraction (0 ≤ φ ≤ 0.0003), Rayleigh number (103≤ Ra ≤105), and Hartmann number (0 ≤ Ha ≤0.6). Numerical solutions are computed across different ranges of these parameters, and the obtained results are successfully validated against previous numerical studies. The findings reveal that higher Hartmann numbers and solid volume fractions lead to lower circulation rates and Nusselt numbers. Convection is markedly enhanced with higher amplitude and its ratios of the wavy sidewalls. The combined two-sinusoidal function with the wave amplitudes of 2.5 and 0.47 of provides the highest mean Nusselt numberof3.204 with the highest dimensionless stream function of 1.638. These results highlight the significant influence of the wave form on both flow and temperature distributions.

Friction Stir Welding (FSW) has revolutionized modern manufacturing with its advantages, such as minimal heat-affected zones and improved material properties. Accurate torque prediction in FSW is crucial for weld quality, process efficiency, and energy conservation. Many researchers achieved models for torque based on experimental research, yet the models were limited to a specific type of material. In recent years, the use of machine learning techniques has increased in industry in general and in welding in particular. In this study, a machine learning model was prepared based on artificial neural networks, and Shapley-Additive Explanations were used to predict the rotational torque from 287 experiments that had been conducted in several previous studies. The achieved model has remarkable predictive performance, with an R-squared of 99.53% and low errors (MAE, MAPE, and RMSE). Moreover, a machine learning polynomial regression was examined for comparisons. A parametric importance analysis revealed that rotational speed, plate thickness, and tilt angle significantly affect torque predictions, while the rest of the variables had minimal importance.

In this paper, a thermo-elastic analysis is presented to obtain stresses, displacements, and the thermal field in the axisymmetric clamped–clamped rotating thick cylindrical shell with nonlinear variable thickness. This shell is subjected to mechanical and thermal load in two dimensions. The governing equations are formulated as a set of non-homogeneous ordinary differential equations with variable coefficients. The system of partial differential equations is semi-analytically solved by using multi-layer method (MLM). The solution of equations is obtained by applying boundary conditions and ensuring continuity between the layers. The problem is also solved, using the finite element method (FEM). The obtained results of the disk form multi-layers method (MLM) are compared with those of FEM.