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1
Content available Variable thermal conductivity in micropolar thermoelastic medium without energy dissipation possessing cubic symmetry
Ailawalia Praveen, Priyanka
International Journal of Applied Mechanics and Engineering
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2023
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Vol. 28, no. 1
1--10
EN
This investigation deals with the effect of variable thermal conductivity in a micropolar thermoelastic medium without energy dissipation with cubic symmetry. The normal mode technique is employed for obtaining components of physical quantities such as displacement, stress, temperature distribution and microrotation.
2
Content available Generalized thermal microstretch elastic solid with harmonic wave for mode-I crack problem
Lotfy Khaled, El-Bary Alaa Abd, Allan Mohamed, Ahmed Marwa H.
Archives of Thermodynamics
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2020
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Vol. 41, no 2
147--168
EN
A general model of the equations of generalized thermo-microstretch for an infinite space weakened by a finite linear opening mode-I crack is solved. Considered material is the homogeneous isotropic elastic half space. The crack is subjected to a prescribed temperature and stress distribution. The formulation is applied to generalized thermoelasticity theories, using mathematical analysis with the purview of the Lord-Şhulman (involving one relaxation time) and Green-Lindsay (includes two relaxation times) theories with respect to the classical dynamical coupled theory (CD). The harmonic wave method has been used to obtain the exact expression for normal displacement, normal stress force, coupled stresses, microstress and temperature distribution. Variations of the considered fields with the horizontal distance are explained graphically. A comparison is also made between the three theories and for different depths for the case of copper crystal.
3
Content available Convective heat transfer in a micropolar fluid over an unsteady stretching surface
Prasad K. V., Vaidya H., Vajravelu K.
International Journal of Applied Mechanics and Engineering
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2016
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Vol. 21, no. 2
407--422
EN
An unsteady boundary layer free convective flow and heat transfer of a viscous incompressible, microploar fluid over a vertical stretching sheet is investigated. The stretching velocity is assumed to vary linearly with the distance along the sheet. Two equal and opposite forces are impulsively applied along the x-axis so that the sheet is stretched, keeping the origin fixed in the micropolar fluid. The transformed highly non-linear boundary layer equations are solved numerically by an implicit finite difference scheme for the transient, state from the initial to the final steady-state. To validate the numerical method, comparisons are made with the available results in the literature for some special cases and the results are found to be in good agreement. The obtained numerical results are analyzed graphically for the velocity, the microrotation, and the temperature distribution; whereas the skin friction, the couple stress coefficient and the Nusselt number are tabulated for different values of the pertinent parameters. Results exhibit a drag reduction and an increase in the surface heat transfer rate in the micropolar fluid flow compared to the Newtonian fluid flow.
4
Content available Response due to mechanical source in second axisymmetric problem of micropolar elastic medium
Singh R.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 4
1249--1261
EN
The second axisymmetric problem in a micropolar elastic medium has been investigated by employing an eigen value approach after applying the Laplace and the Hankel transforms. An example of infinite space with concentrated force at the origin has been presented to illustrate the application of the approach. The integral transforms have been inversed by using a numerical technique to obtain the components of microrotation, displacement, force stress and couple stress in the physical domain. The results for these quantities are given and illustratred graphically.
5
Content available Effects of chemical reaction on magneto-micropolar fluid flow from a radiative surface with variable permeability
Sharma B. K., Singh A. P., Yadav K., Chaudhary R. C.
International Journal of Applied Mechanics and Engineering
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2013
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Vol. 18, no. 3
833--851
EN
This paper presents a study of a hydromagnetic free convection flow of an electrically conducting micropolar fluid past a vertical plate through a porous medium with a heat source, taking into account the homogeneous chemical reaction of first order. A uniform magnetic field has also been considered in the study which acts perpendicular to the porous surface of the above plate. The analysis has been done by assuming varying permeability of the medium and the Rosseland approximation has been used to describe the radiative heat flux in the energy equation. Numerical results are presented graphically in the form of velocity, micro- rotation, concentration and temperature profiles, the skin-friction coefficient, the couple stress coefficient, the rate of heat and mass transfers at the wall for different material parameters. The study clearly demonstrates how a chemical reaction influences the above parameters under given conditions.
6
Content available The effect of reduced heat transfer in a micropolar fluid in natural convection
Rup K., Dróżdż A.
Archives of Thermodynamics
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2013
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Vol. 34, no. 3
45--59
EN
This paper presents the numerical solution to the unsteady natural convection problem in micropolar fluid in the vicinity of a vertical plate, heat flux of which rises suddenly at a given moment. In order to solve this problem the method of finite differences was applied. The numerical results have been presented for a range of values of the dimensionless material properties and fluid Prandtl number. The analysis of the results shows that the intensity of the heat transfer in micropolar fluid is lower compared to the Newtonian fluid.
7
Content available remote Fundamental solution of plane waves in generalized thermo-microstretch elastic half-space
Othman M. I. A., Lotfy Kh., Farouk R. M.
International Journal of Applied Mechanics and Engineering
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2010
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Vol. 15, no 1
175-197
EN
A general model of equations of generalized thermo-microstretch for a homogeneous isotropic elastic half space is given. The formulation is applied to generalized thermoelasticity theories, the Lord-Shulman and Green-Lindsay theories, as well as the classical dynamical coupled theory. The normal mode analysis is used to obtain the exact expressions for the displacement components, force stresses, temperature, couple stresses and microstress distribution. The variations of the variables through the horizontal distance are illustrated graphically. Comparisons are made with the results in the presence and absence of microstretch constants and between the three theories for two different times.
8
Content available remote Interaction due to mechanical sources in micropolar cubic crystal
Kumar R., Ailawalia P.
International Journal of Applied Mechanics and Engineering
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2006
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Vol. 11, no 2
337-357
EN
The response of a micropolar cubic crystal due to various sources has been investigated. The eigen-value approach after applying Laplace and Fourier transforms has been employed to solve the problem. The integral transforms have been inverted by using a numerical technique to obtain the displacement, microrotation and stress components in the physical domain. The results of normal displacement, normal force stress and tangential couple stress have been compared for a micropolar cubic crystal and micropolar isotropic solid and illustrated graphically.
9
Content available remote Convective micropolar boundary layer flows over a wedge with constant surface heat flux
Kim Y. J., Kim T. A.
International Journal of Applied Mechanics and Engineering
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2003
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Vol. 8, no spec.
147-153
EN
In this study, the steady laminar boundary layer flow of micropolar fluids over a wedge has been examined with the constant heat flux boundary condition on the wedge surface. The similarity variables found by Falkner and Skan are employed to reduce the streamwise-dependence in the coupled nonlinear boundary layer equations. Numerical solutions are presented for the heat transfer characteristics using the fourth-order Runge-Kutta numerical procedure with shooting method. The micro-rotation velocity and temperature distributions across the boundary layer are plotted with different wedge angles and compared with the corresponding flow problems for a Newtonian fluid.
10
Content available remote Effects of the characteristic parameters of micropolar flows in a micro-slot between rotating surfaces of revolution
Kim Y. J., Choi G. W., Walicka A., Walicki E.
International Journal of Applied Mechanics and Engineering
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2002
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Vol. 7, Spec. is
81-86
EN
Micron-size mechanical devices are becoming more prevalent, both in commercial applications and in scientific inquiry. Within the last decade, a dramatic increase in research activities has taken place, mostly due to the rapidly expanding growth of applications in areas of MEMS, bioengineering, chemical systems, and advanced energy systems. The effects of vortex viscosity variation on the flow fields in a micro-slot between the rotating surfaces of revolution are studied, using a micropolar fluid theory. In order to solve this problem, we have used boundary layer equations and applied non-zero values of the micro-rotation vector on the wall. The results are compared with the corresponding flow problems for Newtonian fluid. Results show that the coefficient d, the ratio of the vortex viscosity coefficient to the shear viscosity coefficient, has an important effect on the streamwise velocity . Also, the coefficient m, a combination of vortex and spin gradient viscosity coefficients, controls the main part of micro-rotation component.
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