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Contents
- 1 [CT153]
- 1.1 [01362] Nanoparticle Shape Effect On a Sodium–Alginate Based Cu–nanofluid Under a Transverse Magnetic Field
- 1.2 [02451] A heat polynomials method for heat problems with moving boundaries
- 1.3 [00321] Modeling of hydromagnetic unsteady flow over a upright plate using Pseudospectral method
- 1.4 [02268] Applications of heat transport in Vacuum pump Oil in Applied Mathematics
[CT153]
[01362] Nanoparticle Shape Effect On a Sodium–Alginate Based Cu–nanofluid Under a Transverse Magnetic Field
- Session Date & Time : 5D (Aug.25, 15:30-17:10)
- Type : Contributed Talk
- Abstract : Sodium-alginate based nanofluids represent a new generation of fluids with improved performances in terms of heat transfer. This work examines the influence of the nanoparticle shape on a non–Newtonian viscoplastic Cu–nanofluid pertaining to this category. In particular, a stretching/shrinking sheet subjected to a transverse magnetic field is considered. The proposed Cu–nanofluid consists of four different nanoparticles having different shapes, namely bricks, cylinders, platelets, and blades dispersed in a mixture of sodium alginate with Prandtl number Pr = 6.45. Suitable similarity transformations are employed to reduce non–linear PDEs into a system of ODEs and these equations and related boundary conditions are solved numerically by means of a Runge–Kutta–Fehlberg method. Moreover, analytical solutions are obtained through the application of a MAPLE built–in differential equation solver "Dsolve". The behavior of prominent parameters against velocity and temperature is analyzed. It is found that the temperature increases for all shapes of nanoparticles with the viscoplastic parameter and the Eckert number.
- Classification : 80A05, Nanofluid
- Author(s) :
- ABID HUSSANAN (University of Education, Lahore, Pakistan)
[02451] A heat polynomials method for heat problems with moving boundaries
- Session Date & Time : 5D (Aug.25, 15:30-17:10)
- Type : Contributed Talk
- Abstract : Temperature asymmetry in opening electrical contacts due to Thomson and Kohler effects is an important factor influencing on the direction of material transfer and contact erosion at bridging and arcing, as well as on the duration of anode and cathode arc phases. The solution of these problems can be presented in the form of linear combination of heat polynomials. The unknown coefficients can be determined by satisfying the initial- and boundary-conditions or by the LSM.
- Classification : 80A22, 80A23, 80M30, 35C11
- Author(s) :
- Samat Kassabek (Nazarbayev University)
[00321] Modeling of hydromagnetic unsteady flow over a upright plate using Pseudospectral method
- Session Date & Time : 5D (Aug.25, 15:30-17:10)
- Type : Contributed Talk
- Abstract : This study looks at the effects of a crosswise magnetic field along with thermal radiation proceeding the unsteady two-dimensional magneto hydrodynamic viscous flow, electrically insulating, and Newtonian fluid across an upright plate next to a Darcian rule. For governing equations, Pseudospectral Method is used. In this inquiry, the governing non-linear, coupled partial differential equations are decoded using Pseudospectral scheme that is reliable, effective, and has undergone substantial validation. The technique's precision and efficacy are proven.
- Classification : 80Axx, 80Mxx, 80M22
- Author(s) :
- Anju Saini (Graphic Era (Deemed to be University) Dehradun)
[02268] Applications of heat transport in Vacuum pump Oil in Applied Mathematics
- Session Date & Time : 5D (Aug.25, 15:30-17:10)
- Type : Contributed Talk
- Abstract : In the current study, we have discussed some significant applications of heat transport in vacuum pump oil in applied mathematics. Heat transport in vacuum pump oil has several applications in applied mathematics such as modeling thermal management in vacuum systems, estimating the rate of outgassing, analyzing the performance of cryogenic systems, and designing vacuum furnaces, Overall, heat transport in vacuum pump oil is an important area of study in applied mathematics, with a wide range of applications in vacuum technology and related fields. We have used different numerical techniques for the simulation of different applied mathematics models. Vacuum pump oil ( ) is used as a lubricant in pumps of different machines. The rate of heat transport is a fundamental requirement of all phenomena. To enhance the rate of heat transmission and reduce the amount of energy consumed as a result of high temperatures. For this reason, the vacuum pump oil ( ) is taken as a base fluid and is the nanoparticles suspended in . That’s why, the present study inspected the consequence of Hall current, Joule heating effect and variable thickness on the three-dimensional magnetohydrodynamics bidirectional flow of nanoliquid past on a stretchable sheet. Further, the Cattaneo-Christove heat flux and radiation impacts are also considered. The nanofluid model is composed of momentum equations in , and temperature equations. The leading higher-order non-linear PDEs of the current study have been changed into non-linear ODEs with the implementation of appropriate similarity transformations. The procedure of the homotopy analysis method is hired on the resulting higher-order non-linear ODEs along with boundary conditions for the analytical solution. The significance of distinct flow parameters on the velocities in , and temperature profiles of the nanofluid have been encountered and briefly explained in a graphical form. Some important findings of the present modelling are that with the increment of nanoparticles volume fraction the nanofluid velocities in and are increased. It is also detected that higher estimations of magnetic field parameter, Prandtl number and thermal relaxation time parameter declined the nanofluid temperature. During this examination of the model, it is found that the -Vacuum pump oil (VPO) nanofluid enhanced the rate of heat transfer. Also, the vacuum pump oil (VPO) has many industrial and engineering applications. The current study will help to improve the rate of heat transmission by taking this into account due to which working machines will do better performance and the loss of useful energy will be decayed. Lastly, the skin friction coefficient and Nusselt number are also illustrated in a tabular form. Some major findings according to the numerical computation of the problem are that the enhancing estimations of magnetic parameter, nanoparticles volume fraction and wall thickness parameter augmented the skin friction coefficient in and Nusselt number. The reduction in skin friction coefficient of the nanofluid in is examined for Hall current and shape parameter.
- Classification : 80Axx, 76Sxx, 65Txx, Fluid Dynamics
- Author(s) :
- Muhammad Ramzan (King Mongkut's University of Technology Thonburi, Bangkok Thailand)