The Experts below are selected from a list of 317649 Experts worldwide ranked by ideXlab platform
Tasawar Hayat - One of the best experts on this subject based on the ideXlab platform.
-
slip and joule heating effects in mixed convection peristaltic transport of nanofluid with soret and dufour effects
Journal of Molecular Liquids, 2014Co-Authors: Tasawar Hayat, F M Abbasi, Maryem Alyami, Shatha MonaquelAbstract:Abstract Mixed convection peristaltic flow of magnetohydrodynamic (MHD) nanofluid is analyzed. Effects of Brownian motion and thermophoresis are explored. Mathematical formulation is given in the presence of velocity, thermal, and concentration slip effects. Impacts of Joule heating and Soret and Dufour effects are also outlined. Long wavelength and low Reynolds number approximations are used in the modeling of Nonlinear Problem. Resulting equations are solved numerically. Effects of sundry parameters on the flow quantities are analyzed.
-
mhd axisymmetric flow of third grade fluid between stretching sheets with heat transfer
Computers & Fluids, 2013Co-Authors: Tasawar Hayat, A. Alsaedi, Anum Shafiq, Muhammad AwaisAbstract:Abstract This investigation looks at the heat transfer effects in magnetohydrodynamic (MHD) axisymmetric flow of third-grade fluid between the stretching sheets. Viscous and Joule heating effects are given due attention. The resulting Nonlinear Problem is computed for velocity and temperature fields. Expressions of skin friction coefficient and local Nusselt number are calculated. Dimensionless results of velocity and temperature fields are examined for various parameters of interest. Numerical values of skin friction coefficient and Nusselt number are obtained and analyzed.
-
newtonian heating in a flow of thixotropic fluid
European Physical Journal Plus, 2013Co-Authors: Muhammad Awais, Tasawar Hayat, A Qayyum, Ahmed AlsaediAbstract:The present research is concerned with the influence of Newtonian heating on the stagnation point flow near a stretching surface. Constitutive equations of thixotropic fluids are employed in the development of mathematical Problem. The Nonlinear Problem is computed in series form. Besides this, the effects of embedded parameters of interest in the flow Problem are analyzed. Numerical results for physical quantities are presented and examined in the tables.
-
series solution for flow of a second grade fluid in a divergent convergent channel
Canadian Journal of Physics, 2010Co-Authors: Tasawar Hayat, M Nawaz, S Asghar, Awatif A HendiAbstract:This study explores the flow of a second-grade fluid in divergent-convergent channel. The Problem formulation is first developed, and then the corresponding Nonlinear Problem is solved by homotopy analysis method (HAM). The ef- fects of different physical parameters on the velocity profile are shown. The numerical values of the skin friction coeffi- cient for different values of parameters are tabulated.
-
stokes first Problem for sisko fluid over a porous wall
Applied Mathematics and Computation, 2010Co-Authors: Tasawar Hayat, R J Moitsheki, Shirley AbelmanAbstract:We investigate the time-dependent flow of an incompressible Sisko fluid over a wall with suction or blowing. The flow is caused by sudden motion of the wall in its own plane. The magnetodynamic nature of the fluid is taken into account by applying a variable magnetic field. The resulting Nonlinear Problem is solved by invoking a symmetry approach and numerical techniques. The essential features of the embedded key parameters are described. Particularly the significance of the rheological effects is studied.
Makarov M. - One of the best experts on this subject based on the ideXlab platform.
-
Differential Properties of the Operator of the Geometrically Nonlinear Problem of a Sandwich Plate Bending
2020Co-Authors: Makarov M.Abstract:© 2019, Pleiades Publishing, Ltd. The geometrically Nonlinear bending Problem of a sandwich plate with a transversally soft core in a one-dimensional formulation is considered. A generalized formulation of the Problem in the form of an operator equation in Sobolev space is obtained. The differential properties of the operator of this equation are investigated. It is proved that the operator of the equation is differentiate according to Gâlteaux. It is established that the Gâlteaux derivative is a continuous operator. Therefore, the operator is also differentiate Fréchet derivative wherein the Gato derivative coincides with the Fréchet derivative
-
Mathematical Simulation of Nonlinear Problem of Three-point Composite Sample Bending Test
2020Co-Authors: Makarov M.Abstract:© 2016 The Authors.This study is devoted to numerical analysis of the geometrically and physically Nonlinear Problem of three-point bending test of laminated fiber-reinforced composite samples with rectangular cross-section. The Problem is formulated by using relationships based on describing the displacement vector for an arbitrary point on the beam (Timoshenko model). For numerical solution of the Problem, the finite sums method is used. In accordance with this method, the initial equations are reduced to integro-algebraic equations, which are then approximated by a collocation method using Gauss nodes. Implemented numerical enables a very accurate description of solution having large gradients change at very short sections. Buckling of the beam under transverse load has been studied by altering the loading parameter
-
Solvability of physically and geometrically Nonlinear Problem of the theory of sandwich plates with transversally-soft core
2020Co-Authors: Makarov M.Abstract:© 2015, Allerton Press, Inc. The paper presents a generalized statement of geometrically and physically Nonlinear Problem of the equilibrium of sandwich plate with transversally-soft core. Generalized statement is formulated as a Problem of finding a saddle point of a functional. We investigate the properties of this functional. These properties allow to prove a theorem of solvability of variational Problem under consideration
-
Numerical investigation of a physically Nonlinear Problem of the longitudinal bending of the sandwich plate with a transversal-soft core
2020Co-Authors: Makarov M.Abstract:© PNRPU.In this paper, a numerical investigation of a physically Nonlinear Problem of the longitudinal bending of an infinitely long sandwich plate with a transversal-soft core is carried out. We assume that in the right face section the edges of the carrier layers are clamped and there is no adhesive joint of the core with the support element, in the left face section the edges of the carrier layers of the plates are hinge supported on a completely rigid in the transverse direction diaphragms, glued with the end section of the core. The Problem is considered in the one-dimensional geometrically Nonlinear statement. It is assumed that the relationship between the tangential stress and strain shear corresponds to the ideal elasticplastic models, i.e., the tangential stress modules in the core do not exceed a certain limiting value. This condition means the prevention of the structural failure and corresponds to an account of the physical Nonlinearity in the core material by the ideal elastic-plastic model. The generalized statement is formulated as a Problem of finding a saddle point of the Lagrange generalized functional. Lagrange functional properties are investigated. Its convexity, lower semicontinuity and coercivity on the basic variables (displacements of the points of the middle surface of the carrier layers), the concavity, upper semicontinuity and anticoercivity on the Lagrange multipliers (tangential stresses in the core) are established. It made it possible to use the general theory of the existence of saddle points to prove the existence and uniqueness theorem. To solve the Problem the two-layer iterative Uzawa method is proposed, each step of which is reduced to the solving of the linear elasticity Problem and finding the projection onto the convex closed set. We have established the convergence of the method. By using the software package developed in Matlab environment, the numerical experiments for a model Problem have been carried out. The analysis of the results is made. The numerical results correspond to the physical picture
-
Numerical Investigation of Physically Nonlinear Problem of Sandwich Plate Bending
2020Co-Authors: Makarov M.Abstract:© 2016 The Authors.The present work is devoted to the numerical investigation of geometrically linear Problem of bending of sandwich plate with transversal-soft core for the physically non-linear case. The generalized statement of the Problem consists in finding a saddle point of some functional. The existence and uniqueness theorem solutions are proved. To solve the Problem, we use an iterative process previously proposed by the authors, each step of which is reduced to solving a linear Problem of the elasticity theory and finding the projection onto convex closed set. A Matlab software package was developed, numerical experiments for the model Problems are performed. The results of numerical experiments show the effectiveness of the proposed iterative method
Muhammad Sajid - One of the best experts on this subject based on the ideXlab platform.
-
on the homotopy solution for poiseuille flow of a fourth grade fluid
Communications in Nonlinear Science and Numerical Simulation, 2010Co-Authors: Tasawar Hayat, Rahila Naz, Muhammad SajidAbstract:This paper develops a mathematical model with an aim to compute the analytic solution for the flow of a fourth grade fluid between two fixed porous walls. The flow is induced under the application of a constant pressure gradient. The arising Nonlinear Problem is treated analytically yielding a series solution by homotopy analysis method (HAM). Results of velocity and shear stresses at the walls are obtained. The impacts of several flow parameters are examined on the velocity and shear stresses.
-
the influence of slip condition on thin film flow of a fourth grade fluid by the homotopy analysis method
Computers & Mathematics With Applications, 2008Co-Authors: Muhammad Sajid, Muhammad Awais, S Nadeem, Tasawar HayatAbstract:This paper provides an investigation regarding slip effects on thin film flow of a fourth grade fluid down a vertical cylinder. The Nonlinear Problem that arises is solved for both exact and HAM (homotopy analysis method) solutions. Exact and HAM solutions are also compared. Finally we briefly describe the flow characteristics to include the effects of emerging parameters.
-
on the analytic solution of magnetohydrodynamic flow of a second grade fluid over a shrinking sheet
Journal of Applied Mechanics, 2007Co-Authors: Tasawar Hayat, Z Abbas, Muhammad SajidAbstract:In this study, we derive an analytical solution describing the magnetohydrodynamic boundary layer flow of a second grade fluid over a shrinking sheet. Both exact and series solutions have been determined. For the series solution, the governing Nonlinear Problem is solved using the homotopy analysis method. The convergence of the obtained solution is analyzed explicitly. Graphical results have been presented and discussed for the pertinent parameters.
V N Paimushin - One of the best experts on this subject based on the ideXlab platform.
-
geometrically Nonlinear Problem of longitudinal and transverse bending of a sandwich plate with transversally soft core
Lobachevskii Journal of Mathematics, 2018Co-Authors: I B Badriev, M V Makarov, V N PaimushinAbstract:The stress-strain state of sandwich plates with a transversally soft core is determined in one-dimensional geometrically Nonlinear formulation. It is supposed that the edges of carrier layers in the right end section are rigidly clamped and the core is not adhesively bound with the support element. The edges of carrier layers in the left end section are assumed to be hinged on diaphragms that are absolutely rigid in the transverse direction, glued to the end section of the core. A load is applied to the median surface of the first carrier layer from the left end section. On the basis of the generalized Lagrange principle, the general statement is formulated as an operator equation in the Sobolev space. The operator is shown to be pseudo-monotonic and coercive. This makes it possible to prove a theorem that there exists a solution. A two-layer iterative method is proposed for solving the Problem. The convergence of the method is examined using the additional properties of the operator (i.e., quasi-potentiality and bounded Lipschitz continuity). The iteration parameter variation limits ensuring the method convergence are found. A software package has been developed to conduct numerical experiments for the Problem of longitudinal–transverse bending of a sandwich plate. Tabulation is performed with respect to both longitudinal and transverse loads. The results indicate that in terms of weight sophistication and for the given form of loading, the sandwich plate of an asymmetric structure with unequal thicknesses of carrier layers is the most rational and equally stressed plate.
-
mathematical simulation of Nonlinear Problem of three point composite sample bending test
Procedia Engineering, 2016Co-Authors: I B Badriev, M V Makarov, V N PaimushinAbstract:Abstract This study is devoted to numerical analysis of the geometrically and physically Nonlinear Problem of three-point bending test of laminated fiber-reinforced composite samples with rectangular cross-section. The Problem is formulated by using relationships based on describing the displacement vector for an arbitrary point on the beam (Timoshenko model). For numerical solution of the Problem, the finite sums method is used. In accordance with this method, the initial equations are reduced to integro-algebraic equations, which are then approximated by a collocation method using Gauss nodes. Implemented numerical enables a very accurate description of solution having large gradients change at very short sections. Buckling of the beam under transverse load has been studied by altering the loading parameter.
-
numerical investigation of physically Nonlinear Problem of sandwich plate bending
Procedia Engineering, 2016Co-Authors: I B Badriev, M V Makarov, V N PaimushinAbstract:Abstract The present work is devoted to the numerical investigation of geometrically linear Problem of bending of sandwich plate with transversal-soft core for the physically non-linear case. The generalized statement of the Problem consists in finding a saddle point of some functional. The existence and uniqueness theorem solutions are proved. To solve the Problem, we use an iterative process previously proposed by the authors, each step of which is reduced to solving a linear Problem of the elasticity theory and finding the projection onto convex closed set. A Matlab software package was developed, numerical experiments for the model Problems are performed. The results of numerical experiments show the effectiveness of the proposed iterative method.
-
solvability of physically and geometrically Nonlinear Problem of the theory of sandwich plates with transversally soft core
Russian Mathematics, 2015Co-Authors: I B Badriev, M V Makarov, V N PaimushinAbstract:The paper presents a generalized statement of geometrically and physically Nonlinear Problem of the equilibrium of sandwich plate with transversally-soft core. Generalized statement is formulated as a Problem of finding a saddle point of a functional. We investigate the properties of this functional. These properties allow to prove a theorem of solvability of variational Problem under consideration.
Yoshihiro Shibata - One of the best experts on this subject based on the ideXlab platform.
-
decay estimates of solutions for the equations of motion of compressible viscous and heat conductive gases in an exterior domain in ℝ3
Communications in Mathematical Physics, 1999Co-Authors: T. Kobayashi, Yoshihiro ShibataAbstract:We consider the equations of motion of compressible viscous and heat-conductive gases in an exterior domain in ℝ3. We give the L_q−L_p estimates for solutions to the linearized equations and show an optimal decay estimate for solutions to the Nonlinear Problem.
