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Influence of Temperature-Dependent Thermophysical Properties of TiO2-SiO2-ZnO-Fe2O3/PAO Tetra-Hybrid Nanofluid along a Vertical Porous Surface with Suction

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Open Journal of Fluid Dynamics 2024年第3期14卷 123-146页

作者： Philip Iyiola Farayola Lateefat Olanike Aselebe Kafilat Adebimpe Salaudeen Saheed Dolapo Ogundiran Tajudeen Motunrayo Asiru Department of Mathematics and Computing Science Education Emmanuel Alayande University of Education Oyo Nigeria Department of General Studies Federal School of Surveying Oyo Nigeria Department of Pure and Applied Mathematics Ladoke Akintola University of Technology Ogbomoso Nigeria

The significance of the thermophysical properties of Tetra hybrid nanofluid in enhancing heat transmission in various applications like heat exchangers, automobiles, and solar storage cannot be overstated. These features can be tampered with when nanoparticles are been introduced into the base fluid to produce an improved heat carrier fluid for the system. This study investigates the impact of temperature-dependent properties on the movement of TiO2-SiO2-ZnO-Fe2O3/PAO Tetra hybrid nanofluid along a vertical porous surface with suction. The system of governing Partial Differential Equations (PDEs) was formulated and transformed into the system of coupled nonlinear third-order Ordinary Differential Equations (ODEs) by similarity techniques. The resulting ODEs were solved numerically using the shooting method and fourth order Runge-Kutta method with the aid of Maple 18.0 software. Using numerical and statistical methods, the study analyzes velocity, temperature profiles, skin friction coefficient, and Nusselt number. It was found that as the variable thermal conductivity parameter upsurges both the skin friction coefficient and Nusselt number intensify at the rate of 0.011697519 and 8.043581616 respectively. This study underscores the vital role of Tetra hybrid nanofluid’s thermophysical properties in improving heat transmission for diverse appli cations. By manipulating nanoparticles within the base fluid, the heat carrier fluid’s efficiency can be enhanced, critical for industries like automotive and enewable energy. These insights inform the design of more efficient heat exchange systems, advancing sustainability and performance in real-world scenarios.

关键词： Tetra Hybrid Nanofluid shooting technique Numerical Method Skin Friction Nusselt Number Thermophysical Properties

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Free boundary value problems for a class of generalized diffusion equation

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Journal of University of Science and Technology Beijing 2002年第6期9卷 422-425页

作者： LiancunZheng XinxinZhang 等 AppliedScienceSchool UniversityofScienceandTechnologyBeijingBeijing100083China MechanicalEngineeringSchool UniversityofScienceandTechnologyBeijingBeijing100083China

The transport behavior of free boundary value problems for a class ofgeneralized diffusion equations was studied. Suitable similarity transformations were used toconvert the problems into a class of singular nonlinear two-point boundary value problems andsimilarity solutions were numerical presented for different representations of heat conductionfunction, convection function, heat flux function, and power law parameters by utilizing theshooting technique. The results revealed the flux transfer mechanism and the character as well asthe effects of parameters on the solutions.

关键词： free boundary value problem generalized diffusion equation nonlinearboundary problem shooting technique

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Journal of University of Science and Technology Beijing 2002年第2期9卷 104-106页

作者： LiancunZheng XinxinZhang 等 AppliedscienceSchool universityofScienceandTechnologyBeijingBeijing100083China MechanicalEngineeringSchool UniversityofScienceandTechnologyBeijingBeijing100083China

A suitable similarity transformation is introduced to reduce the laminarboundary layer equations of power law fluids to a class of singular nonlinear two-point boundaryvalue problems. The kin friction and shear stress distributions for boundary layer flow over amoving flat plate are investigated by utilizing the shooting technique. Results indicate that foreach fixed value of the power law exponent n or the velocity ratio parameter xi, the skin frictionand shear stress decrease with the increasing of n or xi respectively.

关键词： boundary layer skin friction similarity solution shooting technique

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Significance of activation energy and Wu's slip features in Cross nanofluid with motile microorganisms

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Communications in Theoretical Physics 2020年第10期72卷 1-11页

作者： Sami Ullah Khan Hassan Waqas Taseer Muhammad Muhammad Imran Malik Zaka Ullah Department of Mathematics COMSATS University IslamabadSahiwal 57000Pakistan Department of Mathematics Government College UniversityFaisalabad 38000Pakistan Department of Mathematics College of SciencesKing Khalid UniversityAbha 61413Saudi Arabia Department of Mathematics Faculty of ScienceKing Abdulaziz UniversityJeddah 21589Saudi Arabia

The current article investigates the impact of the bioconvection in an unsteady flow of magnetized Cross nanofluid with gyrotactic microorganisms and activation energy over a linearly stretched *** analysis has been performed by utilizing the realistic Wu's slip boundary and zero mass flux *** effects of nonlinear thermal radiation and the activation energy are also *** governing flow equations are deduced to a dimensionless form by considering suitable transformations which are numerically targeted via a shooting *** physical visualization of each physical parameter governing the flow problem has been displayed graphically for distribution of velocity,temperature,concentration and motile *** numerical treatment for the variation of skin friction coefficient,local Nusselt number,local Sherwood number and motile density number is performed in tabular forms.

关键词： Cross nanofluid nonlinear thermal radiation gyrotactic motile microorganism Wu's slip shooting technique

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Chemical reaction effect of an axisymmetric flow over radially stretched sheet

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Propulsion and Power Research 2019年第1期8卷 79-84页

作者： B.Nayak S.R.Mishra G.Gopi Krishna Department of Mathematics Sikslia‘O’AnusandhanKhandagiriBhubaneswar 751030OdisaIndia Department of Mathematics Sri Venkateswara UniversityTirupatiIndia

A steady boundary layer flow over a porous flat plate has been considered in the present *** transfer analysis with first order chemical reaction is also considered instead of heat *** plate concentration is considered in the form of power law instead of taking *** goveming PDEs are transformed into ordinary differential equations using similarity transfomation and then these ODEs are solved by employing Runge-Kutta fourth order method associated with shooting technique.A parametric study of all involving parameters is obtained by the help of *** major findings are:(i)the concentration of the fluid in its boundary layer decrease with increase in heavier species,the reaction rate parameter and the power law exponent;(ji)the rate of mass transfer increases with an increase in reaction rafe parameter and power-law exponent.

关键词： Magnetohydrodynamic Mass transfer First order chemical reaction Runge-Kutta method shooting technique

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A shooting METHOD FOR THE SWIFT-HOHENBERG EQUATION

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Applied Mathematics(A Journal of Chinese Universities) 2002年第4期17卷 391-403页

作者： TaoYoushan ZhangJizhou Dept.ofAppl.Math. DonghuaUniv.Shanghai200051.China CollegeofMath.Sci. ShanghaiNormalUniv.Shanghai200234China

Stationary even single bump periodic solutions of the Swift Hohenberg equation are analyzed. The coefficient k in the equation is found to be a critical parameter. It is proved if 0 详细信息

Stationary even single bump periodic solutions of the Swift Hohenberg equation are analyzed. The coefficient k in the equation is found to be a critical parameter. It is proved if 0shooting technique, together with a linearization method and a scaling argument.

关键词： shooting technique Swift Hohenberg equation critical point periodic solution.

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Some properties and structures of solutions of the swift-Hohenberg equation

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Journal of Southeast University(English Edition) 2003年第3期19卷 301-306页

作者：周华唐健南京邮电学院应用数理系南京210003 南京工业大学数学系南京210003

Stationary even periodic solutions of the Swift-Hohenberg equation areanalyzed for the critical parameter k = 1, and it is proved that there exist periodic solutionshaving the same energy as the constant solution u = ... 详细信息

关键词： shooting technique swift-hohenberg equation critical point periodicsolution

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CALCULATING ACCURATE PERIODIC MOTIONS OF HARMONICALLY FORCED PIECEWISE LINEAR OSCILLATORS

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Transactions of Nanjing University of Aeronautics and Astronautics 1996年第2期13卷 23+19-22页

作者：王福新胡海岩南京航空航天大学振动工程研究所

This paper presents an efficient numerical scheme for calculating the periodic motion of a harmonically forced piecewise linear oscillator very accurately. The scheme is based on the shooting technique with the traditional numerical Poincare mapping and its Jacobian replaced by the piecewise analytic ones. Thus, the scheme gets rid of the requirement of the current schemes for an assumed order of the oscillator trajectory passing through different linear regions. The numerical examples in the paper demonstrate that the new scheme, compared with the current schemes, enables one to cope with more complicated dynamics of harmonically forced piecewise linear oscillators.

关键词： periodic motions numerical analysis piecewise linear oscillator shooting technique

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Shear Force Distribution and Heat Transfer in Laminar Boundary Layer Flows for Power Law Fluid

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Tsinghua Science and Technology 2002年第2期7卷 182-186页

作者：郑连存张欣欣 Applied Science School University of Science and Technology Beijing Beijing 100083 China Mechanical Engineering School University of Science and Technology Beijing Beijing 100083 China

Analytical and numerical solutions are presented for the momentum and energy laminar boundary layer equations in power law fluids utilizing a similarity transformation and the shooting technique. The results indicated that for power law exponents 01, the increase of the viscous diffusion exceeds that of thermal diffusion with increasing Pr , i.e. , δ T (t)<δ(t) . The thermal diffusion ratio increases with increasing n(0

关键词： power law fluids boundary layer skin friction similarity solution shooting technique

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IMPROVEMENT shooting METHOD FOR THE SOLUTION OF NATURAL CONVECTION BOUNDARY LAYER EQUATIONS

IMPROVEMENT SHOOTING METHOD FOR THE SOLUTION OF NATURAL CONV...

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庆祝中国力学学会成立50周年暨中国力学学会学术大会’2007

作者： LIU Ting~* ZHENG Liancun~(*,1)) ZHANG Xinxin~(**) *(Department of Mathematics and Mechanics,University of Science and Technology Beijing,Beijing,100083 China) **(School of Mechanical Engineering,University of Science and Technology Beijing,Beijing 100083,China)

An investigation was made for laminar nature convection from a semi-infinite vertical flat plate with suction/blowing having a non-uniform surface temperature in quiescent *** following surface temperature was studied... 详细信息

关键词： laminar boundary layer natural convection shooting technique

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