scholarly journals Inclusion of hybrid nanoparticles in hyperbolic tangent material to explore thermal transportation via finite element approach engaging Cattaneo-Christov heat flux

PLoS ONE ◽  
2021 ◽  
Vol 16 (8) ◽  
pp. e0256302
Author(s):  
Umar Nazir ◽  
Muhammad Sohail ◽  
Hussam Alrabaiah ◽  
Mahmoud M. Selim ◽  
Phatiphat Thounthong ◽  
...  
Keyword(s):  
Finite Element ◽  
Differential Equations ◽  
Thermal Relaxation ◽  
Vital Role ◽  
Heat Energy ◽  
Hybrid Nanoparticles ◽  
Hyperbolic Tangent ◽  
Finite Element Procedure ◽  
Element Approach ◽  
Cartesian Coordinate

This report is prepared to examine the heat transport in stagnation point mixed convective hyperbolic tangent material flow past over a linear heated stretching sheet in the presence of magnetic dipole. Phenomenon of thermal transmission plays a vital role in several industrial manufacturing processes. Heat generation is along with thermal relaxation due to Cattaneo-Christov flux is engaged while modeling the energy equation. In order to improve the thermal performance, inclusion of hybrid nanoparticles is mixed in hyperbolic tangent liquid. The conservation laws are modeled in Cartesian coordinate system and simplified via boundary layer approximation. The modeled partial differential equations (PDEs) system are converted into ordinary differential equations (ODEs) system by engaging the scaling group transformation. The converted system of modeled equations has been tackled via finite element procedure (FEP). The efficiency of used scheme has been presented by establishing the grid independent survey. Moreover, accurateness of results is shown with the help of comparative study. It is worth mentioning that the inclusion of hybrid nanoparticles has significant higher impact on heat conduction as compared with nanoparticle. Moreover, hybrid nanoparticles are more efficient to conduct maximum production of heat energy as compared with the production of heat energy of nanoparticles. Hence, hybrid nanoparticles (MoS2/Ag) are observed more significant to conduct more heat energy rather than nanoparticle (Ag).

scholarly journals Significant Production of Thermal Energy in Partially Ionized Hyperbolic Tangent Material Based on Ternary Hybrid Nanomaterials

Energies ◽  
2021 ◽  
Vol 14 (21) ◽  
pp. 6911
Author(s):  
Umar Nazir ◽  
Muhammad Sohail ◽  
Muhammad Bilal Hafeez ◽  
Marek Krawczuk
Keyword(s):  
Finite Element ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Thermal Energy ◽  
Fluid Velocity ◽  
Weissenberg Number ◽  
Hybrid Nanoparticles ◽  
Hyperbolic Tangent ◽  
Partial Differential ◽  
Partially Ionized

Nanoparticles are frequently used to enhance the thermal performance of numerous materials. This study has many practical applications for activities that have to minimize losses of energy due to several impacts. This study investigates the inclusion of ternary hybrid nanoparticles in a partially ionized hyperbolic tangent liquid passed over a stretched melting surface. The fluid motion equation is presented by considering the rotation effect. The thermal energy expression is derived by the contribution of Joule heat and viscous dissipation. Flow equations were modeled by using the concept of boundary layer theory, which occurs in the form of a coupled system of partial differential equations (PDEs). To reduce the complexity, the derived PDEs (partial differential equations) were transformed into a set of ordinary differential equations (ODEs) by engaging in similarity transformations. Afterwards, the converted ODEs were handled via a finite element procedure. The utilization and effectiveness of the methodology are demonstrated by listing the mesh-free survey and comparative analysis. Several important graphs were prepared to show the contribution of emerging parameters on fluid velocity and temperature profile. The findings show that the finite element method is a powerful tool for handling the complex coupled ordinary differential equation system, arising in fluid mechanics and other related dissipation applications in applied science. Furthermore, enhancements in the Forchheimer parameter and the Weissenberg number are necessary to control the fluid velocity.

scholarly journals Finite element simulations of hybrid nano-Carreau Yasuda fluid with hall and ion slip forces over rotating heated porous cone

2021 ◽  
Vol 11 (1) ◽  
Author(s):  
Umar Nazir ◽  
Muhammad Sohail ◽  
Mahmoud M. Selim ◽  
Hussam Alrabaiah ◽  
Poom Kumam
Keyword(s):  
Finite Element ◽  
Heat Generation ◽  
Vital Role ◽  
Independent Study ◽  
Heat Energy ◽  
Eckert Number ◽  
Hybrid Nanoparticles ◽  
Thermal Systems ◽  
Ion Slip ◽  
Flow Situation

AbstractInvolvement of hybrid nanoparticles a vital role to improve the efficiency of thermal systems. This report covers the utilization of different nanoparticles mixed in Carreau Yasuda material for the improvement of thermal performance. The configuration of flow situation is considered over a rotating porous cone by considering the Hall and Ion slip forces. Transport of momentum is considered to be in a rotating cone under generalized ohm’s law and heat transfer is presented by considering viscous dissipation, Joule heating and heat generation. Rheology of considered model is derived by engaging the theory proposed by Prandtl. Modeled complex PDEs are reduced into ODEs under similarity transformation. To study the physics behind this phenomenon, solution is essential. Here, FEM (Finite Element Method) is adopted to compute the solution. Furthermore, the grid independent study is reported with several graphs and tables which are prepared to note the influence of involved parameters on thermal and velocity fields. It is worth mentioning that heat transport is controlled via higher radiation parameter and it upsurges for Eckert number. Moreover, Hall and ion slip parameters are considered significant parameters to produce the enhancement in motion of fluid particles but speed of nano and hybrid nanoparticles becomes slow down versus large values of Forchheimer and Weissenberg numbers. Additionally, an enhancement in production of heat energy is addressed via large values of heat generation number and Eckert number while reduction in heat energy is occurred due to positive values of thermal radiation and Hall and ion slip parameters.

scholarly journals Enhancement in Thermal Energy and Solute Particles Using Hybrid Nanoparticles by Engaging Activation Energy and Chemical Reaction over a Parabolic Surface via Finite Element Approach

2021 ◽  
Vol 5 (3) ◽  
pp. 119
Author(s):  
Yu-Ming Chu ◽  
Umar Nazir ◽  
Muhammad Sohail ◽  
Mahmoud M. Selim ◽  
Jung-Rye Lee
Keyword(s):  
Finite Element ◽  
Nonlinear Problems ◽  
Surface Flow ◽  
Hybrid Nanoparticles ◽  
Surface Drag ◽  
Independent Analysis ◽  
Highly Nonlinear ◽  
Finite Element Procedure ◽  
Element Approach ◽  
Industrial Use

Several mechanisms in industrial use have significant applications in thermal transportation. The inclusion of hybrid nanoparticles in different mixtures has been studied extensively by researchers due to their wide applications. This report discusses the flow of Powell–Eyring fluid mixed with hybrid nanoparticles over a melting parabolic stretched surface. Flow rheology expressions have been derived under boundary layer theory. Afterwards, similarity transformation has been applied to convert PDEs into associated ODEs. These transformed ODEs have been solved the using finite element procedure (FEP) in the symbolic computational package MAPLE 18.0. The applicability and effectiveness of FEM are presented by addressing grid independent analysis. The reliability of FEM is presented by computing the surface drag force and heat transportation coefficient. The used methodology is highly effective and it can be easily implemented in MAPLE 18.0 for other highly nonlinear problems. It is observed that the thermal profile varies directly with the magnetic parameter, and the opposite trend is recorded for the Prandtl number.

scholarly journals Thermal Improvement in Pseudo-Plastic Material Using Ternary Hybrid Nanoparticles via Non-Fourier’s Law over Porous Heated Surface

Energies ◽  
2021 ◽  
Vol 14 (23) ◽  
pp. 8115
Author(s):  
Ebrahem A. Algehyne ◽  
Essam R. El-Zahar ◽  
Muhammad Sohail ◽  
Umar Nazir ◽  
Hussein A. Z. AL-bonsrulah ◽  
...  
Keyword(s):  
Finite Element ◽  
Thermal Transport ◽  
Plastic Material ◽  
Heated Surface ◽  
Nonlinear Problems ◽  
Good Method ◽  
Nonlinear Pdes ◽  
Hybrid Nanoparticles ◽  
Finite Element Approach ◽  
Element Approach

The numerical, analytical, theoretical and experimental study of thermal transport is an active field of research due to its enormous applications and use in numerous systems. This report covers the impacts of thermal transport on pseudo-plastic material past over a horizontal, heated and stretched porous sheet. Modeling of energy conservation is based upon a generalized heat flux model along with a heat generation/absorption factor. The modeled phenomenon is derived in the Cartesian coordinate system under the usual boundary-layer approach proposed by Prandtl, which removes the complexity of the problem. The modeled rheology is obtained in the form of coupled, nonlinear PDEs. These derived PDEs are converted into ODEs with the engagement of similarity transformation. Afterwards, converted ODEs containing some emerging parameters have been approximated numerically with a powerful and effective scheme, namely the finite element approach. The obtained results are compared with the published findings as a limiting case of current research, and an excellent agreement in the obtained solution was found, which guarantees the effectiveness of the used methodology. Furthermore, it is recommended that the finite element approach is a good method among other existing methods and can be effectively applied to nonlinear problems arising in the mathematical modeling of different phenomenon.

scholarly journals Finite Element Approach for the Solution of First-Order Differential Equations

2020 ◽  
Vol 08 (10) ◽  
pp. 2072-2090
Author(s):  
André Schmidt ◽  
Horst R. Beyer ◽  
Matthias Hinze ◽  
Evangelos N. Vandoros
Keyword(s):  
Finite Element ◽  
Differential Equations ◽  
Finite Element Approach ◽  
First Order ◽  
Element Approach ◽  
First Order Differential Equations

scholarly journals Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

Coatings ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 395 ◽  
Author(s):  
Liaqat Ali ◽  
Xiaomin Liu ◽  
Bagh Ali
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Finite Element ◽  
Differential Equations ◽  
Thermal Relaxation ◽  
Fluid Temperature ◽  
Flow And Heat Transfer ◽  
Flux Model ◽  
The Impact ◽  
Heat Flux Model

In this mathematical study, magnetohydrodynamic, time-independent nanofluid flow over a stretching sheet by using the Cattaneo–Christov heat flux model is inspected. The impact of the thermal, solutal boundary and gravitational body forces with the effect of double stratification on the mass flow and heat transfer phenomena is also observed. The temperature-dependent viscosity impact on heat transfer through a moving sheet with capricious heat generation in nanofluids have studied, and the viscosity of the fluid is presumed to deviate as the inverse function of temperature. With the appropriate transformations, the system of partial differential equations is transformed into a system of nonlinear ordinary differential equations. By applying the variational finite element method, the transformed system of equations is solved. The properties of the several parameters for buoyancy, velocity, temperature, stratification, and Brownian motion parameters have examined. The enhancement in the concentration and thermal boundary layer thickness of the nanofluid sheet due to the increment in the viscosity parameter, also increased the temperature and concentration of nanoparticles. Moreover, the fluid temperature declined with the increasing values of thermal relaxation parameter. This displays that the Cattaneo–Christov heat flux model provides a better assessment of temperature distribution. Moreover, confirmation of the code and precision of the numerical method has inveterate with the valuation of the presented results with previous studies.

Thermal response of cylindrical tissue induced by laser irradiation with experimental study

2019 ◽  
Vol 30 (8) ◽  
pp. 4013-4023
Author(s):  
Aatef Hobiny ◽  
Ibrahim Abbas
Keyword(s):  
Experimental Study ◽  
Finite Element ◽  
Thermal Damage ◽  
Numerical Solutions ◽  
Thermal Relaxation ◽  
Bioheat Transfer ◽  
Living Tissue ◽  
Content Type ◽  
Finite Element Approach ◽  
Element Approach

Purpose The purpose of this paper is to provide a method for determining the numerical solutions of the thermal damage of cylindrical living tissues using hyperbolic bioheat model. Due to the complex governing equation, the finite element approach has been adopted to solve these problems. To approve the accuracy of the numerical solution, the numerical outcomes obtained by the finite element approach are compared with the existing experimental study. In addition, the comparisons between the numerical outcomes and the existing experimental data displays that the present mathematical models are efficient tools to evaluate the bioheat transfer in the cylindrical living tissue. Numerical computations for temperatures and thermal damage are presented graphically. Design/methodology/approach In this section, the complex equation of bioheat transfer based upon one relaxation time in cylindrical living tissue is summarized by using the finite element method. This method has been used here to get the solution of equation (8) with initial conditions (9) and boundary conditions (10). The finite element technique is a strong method originally advanced for numerical solutions of complex problems in many fields, and it is the approach of choice for complex systems. Another advantage of this method is that it makes it possible to visualize and quantify the physical effects independently of the experimental limits. Abbas and his colleagues [26-34] have solved several problems under generalized thermoelastic theories. Findings In this study, the different values of blood perfusion and thermal relaxation time of the dermal part of cylindrical living tissue are used. To verify the accuracy of the numerical solutions, the numerical outcomes obtained by the finite element procedure and the existing experimental study have been compared. This comparison displays that the present mathematical model is an effective tool to evaluate the bioheat transfer in the living tissue. Originality/value The validation of the obtained results by using experimental data the numerical solution of hyperbolic bioheat equation is presented. Due to the nonlinearity of the basic equation, the finite element approach is adopted. The effects of thermal relaxation times on the thermal damage and temperature are studied.

Frequency and Stability Analysis Method of Asymmetric Anisotropic Rotor-Bearing System Based on Three-Dimensional Solid Finite Element Method

2015 ◽  
Vol 137 (10) ◽  
Author(s):  
Ma Wei Meng ◽  
Wang Jian Jun ◽  
Wang Zhi
Keyword(s):  
Finite Element ◽  
Differential Equations ◽  
Experimental Studies ◽  
Three Dimensional ◽  
Frequency Characteristics ◽  
Analysis Method ◽  
Rotor Bearing ◽  
Finite Element Procedure ◽  
Linear Differential ◽  
3D Solid

An efficient analysis method is suggested to investigate the frequency characteristics and stability of asymmetric anisotropic rotor-bearing systems. Modifications are made to incorporate the effect of stator asymmetry into an existing three-dimensional (3D) solid finite element procedure developed for rotors with symmetric supports. The reduced ordered linear differential equations with periodic coefficients of the asymmetric anisotropic rotor model are established in the rotating frame. The frequency characteristics and stability of the obtained periodic time-varying coefficient differential equations are investigated based on Floquet theory and Hill's method. Numerical examples and experimental studies are presented to validate the effectiveness of the presented method.

scholarly journals Finite Element Analysis of Proposed Self-Locking Joint for Modular Steel Structures

2021 ◽  
Vol 11 (19) ◽  
pp. 9277
Author(s):  
Gohar Nadeem ◽  
Nor Azizi Safiee ◽  
Nabilah Abu Bakar ◽  
Izian Abd Karim ◽  
Noor Azline Mohd Nasir
Keyword(s):  
Finite Element ◽  
Parametric Study ◽  
Steel Structure ◽  
Steel Structures ◽  
Vital Role ◽  
Moment Frame ◽  
Element Analysis ◽  
Element Approach ◽  
Special Moment Frame ◽  
Modular Structures

The intermodular connection between modules plays a vital role in the overall performance of modular structures. The separation between a column and connection is possible due to the absence of links (welding or bolting) since limited space is available between modules. This study proposed a self-locking joint to be used in a modular steel structure, connecting columns with a connection without need of extra space between modules. The behavior of the proposed connection subjected to monotonic load was evaluated using a finite element approach using ABAQUS software. The influencing factors contributed to the behavior of the self-locking connection and columns observed using a parametric study. The parametric study was conducted by varying beam thickness, bolt pretension force and friction coefficient µ. Results indicate that the proposed connection can be classified as a semirigid connection according to Eurocode 3 and special moment frame (SMF) as recommended by AISC.

The thermomechanical response of a poroelastic medium with two thermal relaxation times

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ibrahim Abbas ◽  
Aatef Hobiny
Keyword(s):  
Finite Element ◽  
Design Methodology ◽  
Relaxation Times ◽  
Thermal Relaxation ◽  
The Finite Element Method ◽  
Poroelastic Medium ◽  
Content Type ◽  
One Dimensional ◽  
Thermal Relaxation Times ◽  
Element Approach

Purpose–The purpose of this paper is to study the wave propagation in a porous medium through the porothermoelastic process using the finite element method (FEM).Design/methodology/approachOne-dimensional (1D) application for a poroelastic half-space is considered. Due to the complex governing equation, the finite element approach has been adopted to solve these problems.FindingsThe effect of porosity and thermal relaxation times in a porothermoelastic material was investigated.Originality/valueThe numerical results for stresses, displacements and temperatures for the solid and the fluid are represented graphically. This work will enable future investigators to have the insight of nonsimple porothermoelasticity with different phases in detail.

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