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The Journal of University of Zielona Góra

International Journal of Applied Mechanics and Engineering

Hydromagnetic flow of water based nanofluids over a nonlinearly stretching sheet in the presence of velocity slip, temperature jump, magnetic field, nonlinear thermal radiation, thermophoresis and Brownian motion has been studied. The article focuses on Cu water nanofluid and Ag water nanofluid. The similarity transformation technique is adopted to reduce the governing nonlinear partial differential equations into nonlinear ordinary differential equations and then they are solved numerically utilizing the Nachistem – Swigert shooting method along with the fourth order Runge Kutta integration technique. The influence of physical parameters on the flow, temperature and nanoparticle volume fraction are presented through graphs. Also the values of the skin friction coefficient at the wall and nondimensional rate of heat transfer are given in a tabular form. A comparative study with previous published results is also made.

Abstract

Keywords

<article-title>Role of Brownian Motion and Thermophoresis Effects on Hydromagnetic Flow of Nanofluid Over a Nonlinearly Stretching Sheet with Slip Effects and Solar Radiation</article-title>

Role of Brownian Motion and Thermophoresis Effects on Hydromagnetic Flow of Nanofluid Over a Nonlinearly Stretching Sheet with Slip Effects and Solar Radiation

Failure analysis of laminated composite plates for different mechanical, thermo mechanical and hygro-thermo mechanical loads for different ply thicknesses, stacking sequences, fiber orientation angles and composite material systems is presented in the paper. A comparative study of different failure theories is also presented in the paper. The effect of fiber orientation angles on the first ply failure load is also studied. A hybrid composite laminate is developed based on the first ply failure load which minimizes weight and cost. The last ply failure load based on fully discounted method is calculated for different stacking sequences. An optimum composite material system and laminate layup is studied for a targeted strength ratio which minimizes weight.

<article-title>Failure Analysis of Laminated Composite Plate Under Hygro-Thermo Mechanical Load and Optimisation</article-title>

Failure Analysis of Laminated Composite Plate Under Hygro-Thermo Mechanical Load and Optimisation

In this paper, the dispersion of a solute in the peristaltic propulsion of an incompressible and viscous fluid through a permeable medium under the influence of wall properties with simultaneous homogeneous, heterogeneous chemical reactions in an inclined uniform channel has been studied. The issue is studied through conditions of Taylor’s limit and long wavelength hypothesis. The mean effective coefficient of scattering expression is computed and outcomes are interpreted physically through graphs.

<article-title>Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties</article-title>

Simultaneous Chemical Reactions Effect on Dispersion of a Solute in Peristaltic Propulsion of a Newtonian Fluid in an Inclined Channel with Wall Properties

The problem of exponential law of steady, incompressible fluid flow in boundary layer and heat transfer are studied in an electrically conducting fluid over a semi-infinite vertical plate assuming the variable thermal conductivity in the presence of a uniform magnetic field. The governing system of equations including the continuity equation, momentum equation and energy equation have been transformed into nonlinear coupled ordinary differential equations using appropriate similarity variables. All the numerical and graphical solutions are obtained through the use of Maple software. The solutions are found to be dependent on three dimensionless parameters including the magnetic field parameter <italic>M</italic>, thermal conductivity parameter β and Prandtl number Pr. Representative velocity and temperature profiles are presented at various values of the governing parameters. The skin-friction coefficient and the rate of heat transfer are also calculated for different values of the parameters.

Research Group of Fluid Flow Modeling and Simulation, Department of Applied Mathematics

<article-title>Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity</article-title>

Electrically Conducting Flow through Exponential Power Law Fluid with Variable Thermal Conductivity

The paper presents a comprehensive analysis of the stress field near a crack tip for a compact specimen dominated by the plane strain state using the finite element method. The analysis also includes the calculation of some parameters of in-plane constraints, both for small and large strain assumptions. It discusses the influence of the material characteristic, relative crack length and external load for the stress field, and the in-plane constraint parameter. The approximation formulas for some in-plane constraint parameters are presented.

Faculty of Mechatronics and Mechanical Engineering, Department of Manufacturing Engineering and Metrology

<article-title>The Characterization of the Stress Fields Near a Crack Tip for a Compact Specimen for Elastic-Plastic Materials Dominated by the Plane Strain State</article-title>

The Characterization of the Stress Fields Near a Crack Tip for a Compact Specimen for Elastic-Plastic Materials Dominated by the Plane Strain State

MHD slip flow past an extending surface with third type (convective) boundary condition and thermal radiation is analysed. The governing momentum and energy equations are converted into set of nonlinear ordinary differential equations using appropriate similarity transformations. The Fourth-Order Runge-Kutta shooting method is applied for obtaining the numerical solution of the resulting nonlinear ordinary differential equations. The numerical results for velocity and temperature distribution are found for different values of the vital parameters, namely: the magnetic interaction factor, slip factor, convective factor, Prandtl number and radiation factor and are presented graphically, and discussed.

<article-title>MHD Slip Flow Past an Extending Surface with Third Type Boundary Condition and Thermal Radiation Effects</article-title>

MHD Slip Flow Past an Extending Surface with Third Type Boundary Condition and Thermal Radiation Effects

The paper presents a method of planning a collision-free trajectory for a humanoid manipulator mounted on a rail system. The task of the robot is to move its end-effectors from the current position to the given final location in the workspace. The method is based on a redundancy resolution at the velocity level. In addition to this primary task, secondary objectives are also taken into account. The motion of the robot is planned in order to maximize a manipulability measure in purpose of avoiding manipulator singularities. State inequality constraints resulting from collision avoidance conditions are also considered. A computer example involving a humanoid manipulator operating in a three dimensional task space is also presented.

Institute of Mechanical Engineering and Machine Operation

<article-title>Trajectory Planning of the Humanoid Manipulator</article-title>

Trajectory Planning of the Humanoid Manipulator

{"article-title":"Trajectory Planning of the Humanoid Manipulator"}

A three-phase-lag (TPL) model is proposed to describe heat transfer in a finite domain skin tissue with temperature dependent metabolic heat generation. The Laplace transform method is applied to solve the problem. Three special types of heat flux are applied to the boundary of skin tissue for thermal therapeutic applications. The depth of tissue is influenced by the different oscillation heat flux. The comparison between the TPL and dual-phase-lag (DPL) models is analyzed and the effects of phase lag parameters (<italic>τq</italic>, <italic>τt</italic> and <italic>τv</italic>) and material (<italic>k</italic>*) on the tissue temperature distribution are presented graphically.

<article-title>Phase-Lag Effects in Skin Tissue During Transient Heating</article-title>

Phase-Lag Effects in Skin Tissue During Transient Heating

{"article-title":"Phase-Lag Effects in Skin Tissue During Transient Heating"}

A two-dimensional Cauchy Poisson problem for water with a porous bottom generated by an axisymmetric initial surface disturbance is investigated here. The problem is formulated as an initial value problem for the velocity potential describing the motion in the fluid. The Laplace and Hankel transform techniques have been used in the mathematical analysis to obtain the form of the free surface in terms of a multiple infinite integral. This integral is then evaluated asymptotically by the method of stationary phase. The asymptotic form of the free surface is depicted graphically in a number of figures for different values of the porosity parameter and for different types of initial disturbances.

<article-title>Generation of Surface Waves Due to Initial Axisymmetric Surface Disturbance in Water with a Porous Bottom</article-title>

Generation of Surface Waves Due to Initial Axisymmetric Surface Disturbance in Water with a Porous Bottom

In this analysis, we present a theoretical study to examine the combined effect of both slip velocity and periodic body acceleration on an unsteady generalized non-Newtonian blood flow through a stenosed artery with permeable wall. A constant transverse magnetic field is applied on the peristaltic flow of blood, treating it as an elastico-viscous, electrically conducting and incompressible fluid. Appropriate transformation methods are adopted to solve the unsteady non-Newtonian axially symmetric momentum equation in the cylindrical polar coordinate system with suitably prescribed conditions. To validate the applicability of the proposed analysis, analytical expressions for the axial velocity, fluid acceleration, wall shear stress and volumetric flow rate are computed and for having an adequate insight to blood flow behavior through a stenosed artery, graphs have been plotted with varying values of flow variables, to analyse the influence of the axial velocity, wall shear stress and volumetric flow rate of streaming blood.

MSC 2010

<article-title>The Effect of Slip Velocity on Unsteady Peristalsis MHD Blood Flow through a Constricted Artery Experiencing Body Acceleration</article-title>

The Effect of Slip Velocity on Unsteady Peristalsis MHD Blood Flow through a Constricted Artery Experiencing Body Acceleration

The governing equations for a homogeneous and isotropic thermoelastic medium are formulated in the context of coupled thermoelasticity, Lord and Shulman theory of generalized thermoelasticity with one relaxation time, Green and Lindsay theory of generalized thermoelasticity with two relaxation times, Green and Nagdhi theory of thermoelasticity without energy dissipation and Chandrasekharaiah and Tzou theory of thermoelasticity. These governing equations are solved to obtain general surface wave solutions. The particular solutions in a half-space are obtained with the help of appropriate radiation conditions. The two types of boundaries at athe surface of a half-space are considered namely, the stress free thermally insulated boundary and stress free isothermal boundary. The particular solutions obtained in a half-space satisfy the relevant boundary conditions at the free surface of the half-space and a frequency equation for the Rayleigh wave speed is obtained for both thermally insulated and isothermal cases. The non-dimensional Rayleigh wave speed is computed for aluminium metal to observe the effects of frequency, thermal relaxation time and different theories of thermoelasticity.

<article-title>On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity</article-title>

On Propagation of Rayleigh Type Surface Wave in Five Different Theories of Thermoelasticity

An analysis has been carried out to study the combined effects of radiation absorption and chemical reaction on an incompressible, electrically conducting and radiating flow of a Rivlin-Ericksen fluid along a semi-infinite vertical permeable moving plate in the presence of a transverse applied magnetic field. It is assumed that the suction velocity, the temperature and the concentration at the wall are exponentially varying with time. The dimensionless governing equations for this investigation are solved analytically using two-term harmonic and non-harmonic functions. A comparison is made with the available results in the literature for a special case and our results are in very good agreement with the known results. A parametric study of the physical parameters is made and results are presented through graphs and tables. The results indicate that the fluid velocity and temperature could be controlled by varying the radiation absorption.

The Maharaja Sayajirao University of Baroda

<article-title>Radiation Absorption and Chemical Reaction Effects on Rivlin-Ericksen Flow Past a Vertical Moving Porous Plate</article-title>

Radiation Absorption and Chemical Reaction Effects on Rivlin-Ericksen Flow Past a Vertical Moving Porous Plate

Propagation of time harmonic plane waves in an infinite thermo-viscoelastic material with voids has been investigated within the context of different theories of thermoelasticity. The equations of motion developed by Iesan [1] have been extended to incorporate the Lord-Shulman theory (LST) and Green-Lindsay theory (GLT) of thermoelasticity. It has been shown that there exist three coupled dilatational waves and an uncoupled shear wave propagating with distinct speeds. The presence of thermal, viscosity and voids parameters is responsible for the coupling among dilatational waves. All the existing waves are found to be dispersive and attenuated in nature. The phase speeds and attenuation coefficients of propagating waves are computed numerically for a copper material and compared under different theories of thermo-elasticity. The expressions of energies carried along each wave have also been derived. All the computed numerical results have been depicted through graphs. It is found that the influence of CT and GLT is almost same on wave propagation, while LST influences the wave propagation differently.

<article-title>Plane Waves in Thermo-Viscoelastic Material with Voids Under Different Theories of Thermoelasticity</article-title>

Plane Waves in Thermo-Viscoelastic Material with Voids Under Different Theories of Thermoelasticity

The stretching sheets with variable thickness may occur in engineering applications more frequently than a flat sheet. Due to its various applications, in the present analysis we considered a three dimensional unsteady MHD nanofluid flow over a stretching sheet with a variable wall thickness in a porous medium. The effects of radiation, viscous dissipation and slip boundary conditions are considered. Buongiorno’s model is incorporated to study the combined effects of thermophoresis and Brownian motion. The dimensionless governing equations are solved by using MATLAB bvp4c package. The impact of various important flow parameters is presented and analysed through graphs and tables. It is interesting to note that all the three boundary layer thicknesses are diminished by slip parameters. Further, the unsteady parameter decreases the hydromagnetic boundary layer thickness.

<article-title>Unsteady Three-Dimensional MHD Nanofluid Flow Over a Stretching Sheet with Variable Wall Thickness and Slip Effects</article-title>

Unsteady Three-Dimensional MHD Nanofluid Flow Over a Stretching Sheet with Variable Wall Thickness and Slip Effects

An analysis is presented to study the effects of thermal radiation, chemical reaction, viscous and Joule dissipation on MHD free convection flow between a pair of infinite vertical Couette channel walls embedded in a porous medium. The fluid flows by a strong transverse magnetic field imposed perpendicularly to the channel wall on the assumption of a small magnetic Reynolds number. The governing non linear partial differential equations are transformed in to ordinary differential equations and are solved analytically. The effect of various parameters viz., Eckert number, electric conductivity, dynamic viscosity and strength of magnetic field on temperature profile has been discussed and presented graphically.

<article-title>Thermal Radiation, Chemical Reaction, Viscous and Joule Dissipation Effects on MHD Flow Embedded in a Porous Medium</article-title>

Thermal Radiation, Chemical Reaction, Viscous and Joule Dissipation Effects on MHD Flow Embedded in a Porous Medium

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Honorary Editor-in-Chief and Founder Edward Walicki Editor-in-Chief Paweł Jurczak Regional Editors K. R. Rajagopal, Texas A&M University, USA Siu-Lai Chan, The Hong Kong Polytechnic University, Hong Kong, PRC Editorial Advisory Board H.I.Andersson, The Norwegian University, Norway R.Bassani, Universitŕ degli Studi di Pisa, Italy G.Bergeles, National Technical University of Athens, Greece R.Będziński, University of Zielona Góra, Poland A.Biń, Technical University of Warsaw, Poland Y.C.Chen, University of Houston, USA B.S.Dandapat, Indian Statistical Institute, India D.Durban, Technion Faculty of Aerospace Engineering, Israel N.El-Kissi, Laboratoire Rhéologie et Procédés, France I.Emri, University of Ljubljana, Slovenia J.Falicki, University of Zielona Góra, Poland M.Fillon, CNRS - Université de Poitiers – ENSMA, France M.Z.Galicki, University of Zielona Góra, Poland R.S.R.Gorla, Cleveland State University, USA A.Gronowicz, Wrocław University of Technology, Poland M.A.Hossain, University of Dhaka, Bangladesh D.B.Ingham, University of Leeds, United Kingdom Z.Kabza, Opole University of Technology, Poland E.V.Korobko, Byelorussian Academy of Sciences, Belarus M.Królak, Lodz University of Technology, Poland V.G.Kulichikhin, Russian Academy of Sciences, Russia An-Chen Lee, National Chiao Tung University, Taiwan, R.O.C K.M.Liew, Nanyang Technological University, Singapore, R.O.S K.Łasiński, University of Zielona Góra, Poland K.Magnucki, Poznan University of Technology, Poland O.Manca, Università degli Studi della Campania, Italy J.Mikielewicz, Polish Academy of Sciences, Poland Y.Mitsuya, Nagoya University, Japan A.S.Mujumdar, National University of Singapore, Singapore H.Münstedt, der Universität Erlangen-Nürnberg, Germany N.K.Myshkin, Belarus Academy of Sciences, Belarus H.Ouakad, Sultan Qaboos University, Al Khoud, Muscat, Oman M.Pakdemirli, Celal Bayar University, Turkey J.-M.Piau, Laboratorie de Rheologie, BP53-Domaine Universitaire, France I.Pop, University of Cluj, Romania M.M. Rashidi, Tongji University, The People's Republic of China T.G.Rozgonyi, Colorado School of Mines, USA J.T.Sawicki, Cleveland State University, USA A.Sobczyk, Cracow University of Technology, Poland A.R.Srinivasa, Texas A&M. University, USA G.Stachowiak, University of Western Australia, Western Australia D.Steigmann, University of California, USA T.A.Stolarski, The University of West London, United Kingdom Hyung Jin Sung, Korea Advenced Institute of Science and Technology, South Korea A.Z.Szeri, University of Delaware, USA H.S.Takhar, Faculty of Science and Engineering Department of Engineering & Technology John Dalton Building, United Kingdom M.Wagner, Technische Universität Berlin, Germany A.Walicka, University of Zielona Góra, Poland K.Walters, University of Wales, United Kingdom K.Watanabe, Tokyo Metropolitan University, Japan S.H.Winoto, National University of Singapore, Republic of Singapore E.Wittbrodt, Gdansk University of Technology, Poland J.Wojnarowski, Silesian University of Technology, Poland Q.-S.Zheng, Tsinghua University, The People's Republic of China Language Editors Jolanta Pacewicz, University of Zielona Góra, Poland Technical Editors Katarzyna Petrów-Napieralska, University of Zielona Góra, Poland Contact Uniwersytet Zielonogórski, Redakcja IJAME, ul. Szafrana 4, 65-516 Zielona Góra tel. 68 32 82 472; 68 32 82 667 e-mail: <A href="mailto:office@ijame.uz.zgora.pl">office@ijame.uz.zgora.pl</A> Publisher De Gruyter Poland Bogumiła Zuga 32A Str. 01-811 Warsaw, Poland T: +48 22 701 50 15

Please submit your manuscripts to International Journal of Applied Mechanics and Engineering via email to: <A href="mailto:office@ijame.uz.zgora.pl">office@ijame.uz.zgora.pl </A>

INTERNATIONAL JOURNAL OF APPLIED MECHANICS AND ENGINEERING is an archival journal which aims to publish high quality original papers. These should encompass the best fundamental and applied science with an emphasis on their application to the highest engineering practice. The scope includes all aspects of science and engineering which have relevance to: biomechanics, elasticity, plasticity, vibrations, mechanics of structures, mechatronics, plates & shells, magnetohydrodynamics, rheology, thermodynamics, tribology, fluid dynamics.

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International Journal of Applied Mechanics and Engineering

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Volume 24 (2019): Issue 3 (September 2019)

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