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Wyświetlanie 1-7 z 7
Tytuł:
Homotopy Perturbation Method of Hydromagnetic Flow and Heat Transfer of a Casson Fluid over an Exponentially Shrinking Sheet
Autorzy:
Murugesan, Thiagarajan
Varshini, S.
Kumar, M. Dinesh
Powiązania:
https://bibliotekanauki.pl/articles/1031915.pdf
Data publikacji:
2020
Wydawca:
Przedsiębiorstwo Wydawnictw Naukowych Darwin / Scientific Publishing House DARWIN
Tematy:
Casson Fluid
Homotopy Perturbation method
MHD
Runge-Kutta method
suction
Opis:
Nonlinear hydromagnetic flow and heat transfer of a Casson fluid over an exponentially shrinking sheet has been investigated. The fluid is assumed to be viscous, incompressible and electrically conducting. The similarity transformations are applied to reduce the non-linear partial differential equations into the non-linear ordinary differential equations. Homotopy Perturbation Method is used to solve the resulting non-linear differential equations under appropriate boundary conditions. The impact of Casson fluid parameter, magnetic interaction parameter, suction parameter and Prandtl number on both velocity and temperature profiles are shown graphically. Thermal boundary layer thickness decreases with increasing Prandtl number. Effect of Casson fluid parameter is to reduce both the velocity and temperature. Quantities of physical interest such as skin-friction coefficient, non-dimensional rate of heat transfer are solved numerically. A comparison reveals a remarkable agreement between the Homotopy Perturbation Method and Runge-Kutta fourth order method.
Źródło:
World Scientific News; 2020, 140; 59-78
2392-2192
Pojawia się w:
World Scientific News
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Issledovanie dinamiki ustrojjstva dlja narezanija rezby
The study of the dynamics of a device for screw thread turning
Autorzy:
Gevko, B.
Djachun, A.
Marchuk, N.
Powiązania:
https://bibliotekanauki.pl/articles/76522.pdf
Data publikacji:
2016
Wydawca:
Komisja Motoryzacji i Energetyki Rolnictwa
Tematy:
operation
maintenance
mechanical engineering
thread connection
nonlinear differential equation
numerical method
Runge-Kutta method
Źródło:
Motrol. Motoryzacja i Energetyka Rolnictwa; 2016, 18, 1
1730-8658
Pojawia się w:
Motrol. Motoryzacja i Energetyka Rolnictwa
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Investigations of Couette flow unsteady radiative convective heat transfer in a vertical channel using the generalized method of lines (MOL)
Autorzy:
Sowayan, Ahmed S.
Powiązania:
https://bibliotekanauki.pl/articles/2174210.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
promieniowanie
konwekcja naturalna
metoda Runge-Kutty
vertical channel
radiation
natural convection
method of lines (MOL)
Runge-Kutta method
Opis:
This study describes a very efficient and fast numerical solution method for the non-steady free convection flow with radiation of a viscous fluid between two infinite vertical parallel walls. The method of lines (MOL) is used together with the Runge-Kutta ODE Matlab solver to investigate this problem numerically. The presence of radiation adds more stiffness and numerical complexity to the problem. A complete derivation in dimensionless form of the governing equations for momentum and energy is also included. A constant heat flux condition is applied at the left wall and a transient numerical solution is obtained for different values of the radiation parameter (R). The results are presented for dimensionless velocity, dimensionless temperature and Nusselt number for different values of the Prandtl number (Pr), Grashof number (Gr), and the radiation parameter (R). As expected, the results show that the convection heat transfer is high when the Nusselt number is high and the radiation parameter is low. It is also shown that the solution method used is simple and efficient and could be easily adopted to solve more complex problems.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 3; 199--211
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
A study of MHD fluid with second order slip and thermal flow over a nonlinear stretching sheet
Autorzy:
Jauhri, Shefali
Mishra, Upendra
Powiązania:
https://bibliotekanauki.pl/articles/2174199.pdf
Data publikacji:
2022
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
płyn magnetyczny
nanociecz
metoda Runge-Kutty
stagnation point flow
second order slip boundary conditions
nonlinear stretching sheet
Runge-Kutta method
Opis:
An electrically conducted viscous incompressible nanofluid flow caused by the nonlinear stretching surface with stagnation flow has been investigated numerically. The effect of Brownian motion and thermophoresis on the nanofluid is also incorporated. The governing partial differential equations with nonlinear second order boundary conditions are solved by the fourth order Runge-Kutta technique using MATLAB programming. The effect of the radiation parameter (Rd), stretching parameter (n), Brownian motion parameter (Nb), thermophoresis parameter (Nt) on temperature, velocity and mass transfer are shown graphically. The influence of some of these parameters on the local Nusselt number (−′(0)) and local Sherwood number (−′(0)) are shown by the graphs.
Źródło:
International Journal of Applied Mechanics and Engineering; 2022, 27, 2; 98--114
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Effect of viscous dissipation and thermal radiation on heat transfer over a non-linearly stretching sheet through porous medium
Autorzy:
Nandeppanavar, M. M.
Siddalingappa, M. N.
Powiązania:
https://bibliotekanauki.pl/articles/264505.pdf
Data publikacji:
2013
Wydawca:
Uniwersytet Zielonogórski. Oficyna Wydawnicza
Tematy:
materiały porowate
metoda Runge-Kutty
promieniowanie cieplne
porous media
viscous dissipation
Runge-Kutta method
thermal radiation
wall temperature gradient
wall temperature
Opis:
In this present paper, we have discussed the effects of viscous dissipation and thermal radiation on heat transfer over a non-linear stretching sheet through a porous medium. Usual similarity transformations are considered to convert the non-linear partial differential equation of motion and heat transfer into ODE’s. Solutions of motion and heat transfer are obtained by the Runge-Kutta integration scheme with most efficient shooting technique. The graphical results are presented to interpret various physical parameters of interest. It is found that the velocity profile decreases with an increase of the porous parameter asymptotically. The temperature field decreases with an increase in the parametric values of the Prandtl number and thermal radiation while with an increase in parameters of the Eckert number and porous parameter, the temperature field increases in both PST (power law surface temperature) and PHF (power law heat flux) cases. The numerical values of the non-dimensional wall temperature gradient and wall temperature are tabulated and discussed.
Źródło:
International Journal of Applied Mechanics and Engineering; 2013, 18, 2; 461-474
1734-4492
2353-9003
Pojawia się w:
International Journal of Applied Mechanics and Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical approaches to the heat transfer problem in modern electronic structures
Autorzy:
Raszkowski, T.
Samson, A.
Powiązania:
https://bibliotekanauki.pl/articles/952934.pdf
Data publikacji:
2017
Wydawca:
Akademia Górniczo-Hutnicza im. Stanisława Staszica w Krakowie. Wydawnictwo AGH
Tematy:
nanoscale heat transfer
Fourier-Kirchhoff equation
dual-phase-lag equation
finite difference method
Runge-Kutta method
gear’s method
thermal analyses
Opis:
The main aim of this paper is to present a detailed description of the research related to the modeling of heat conduction in modern electronic structures, including special consideration for numerical aspects of analyzed algorithms. The motivation to undertake the research as well as some of the most-important results of the experiments and simulations are also included. Moreover, a numerical approximation of the problem as well as the methodology used and a sample solution of the mentioned problem are presented. In the main part, the discretization techniques, Ordinary Differential Equation algorithms, and simulation results for Runge-Kutta’s and Gear’s algorithms are analyzed and discussed. Additionally, a new effective approach to the modeling of heat transfer in electronic nanostructures is demonstrated.
Źródło:
Computer Science; 2017, 18 (1); 71-93
1508-2806
2300-7036
Pojawia się w:
Computer Science
Dostawca treści:
Biblioteka Nauki
Artykuł
Tytuł:
Numerical predictions of laminar flow and free convection heat transfer from an isothermal vertical flat plate
Autorzy:
Belhocine, Ali
Stojanovic, Nadica
Abdullah, Oday Ibraheem
Powiązania:
https://bibliotekanauki.pl/articles/27309866.pdf
Data publikacji:
2022
Wydawca:
Polska Akademia Nauk. Czasopisma i Monografie PAN
Tematy:
free convective flow
vertical flat plate
similarity solution
boundary layer flow
dimensionless temperature
Prandtl number
Runge-Kutta method
swobodny przepływ konwekcyjny
rozwiązanie podobieństwa
przepływ warstwy granicznej
bezwymiarowa temperatura
numer Prandtla
Metoda Runge-Kutty
Opis:
In this present work, the laminar free convection boundary layer flow of a two-dimensional fluid over the vertical flat plate with a uniform surface temperature has been numerically investigated in detail by the similarity solution method. The velocity and temperature profiles were considered similar to all values and their variations are as a function of distance from the leading edge measured along with the plate. By taking into account this thermal boundary condition, the system of governing partial differential equations is reduced to a system of non-linear ordinary differential equations. The latter was solved numerically using the Runge-Kutta method of the fourth-order, the solution of which was obtained by using the FORTRAN code on a computer. The numerical analysis resulting from this simulation allows us to derive some prescribed values of various material parameters involved in the problem to which several important results were discussed in depth such as velocity, temperature, and rate of heat transfer. The definitive comparison between the two numerical models showed us an excellent agreement concerning the order of precision of the simulation. Finally, we compared our numerical results with a certain model already treated, which is in the specialized literature.
Źródło:
Archive of Mechanical Engineering; 2022, LXIX, 4; 749--773
0004-0738
Pojawia się w:
Archive of Mechanical Engineering
Dostawca treści:
Biblioteka Nauki
Artykuł
    Wyświetlanie 1-7 z 7

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