State observer design for non linear coupled partial differential equations with application to radiative-conductive heat transfer systems

2014 ◽  
Author(s):  
Mohamed Ghattassi ◽  
Mohamed Boutayeb ◽  
Jean R. Roche
Keyword(s):  
Heat Transfer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
State Observer ◽  
Observer Design ◽  
Conductive Heat Transfer ◽  
Conductive Heat ◽  
Partial Differential ◽  
Coupled Partial Differential Equations ◽  
Non Linear

scholarly journals Thermal radiation effects on magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability

2014 ◽  
Vol 18 (suppl.2) ◽  
pp. 563-572 ◽  
Author(s):  
Kishan Naikoti ◽  
Meenakshi Vadithya
Keyword(s):  
Heat Transfer ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Radiation Effects ◽  
Dynamic Flow ◽  
Partial Differential ◽  
Flow And Heat Transfer ◽  
Non Linear ◽  
Porous Walls

This paper deals with the problem of thermal radiation effects on magneto hydro dynamic flow and heat transfer in a channel with porous walls of different permeability. The equations governing the flow are coupled non-linear partial differential equations. By introducing the stream function, the governing partial differential equations are reduced to ordinary differential equations. The governing equations which are coupled and highly non-linear are first linearized by quasilinearization technique and obtained numerical solution by using implicit finite difference scheme. The effects of various parameters, namely, Reynolds number R, Permeability parameter K, Hartmann number S2, Prandtl number Pr, and Thermal radiation parameter F, entering into the problem on the velocity field and temperature distribution are shown graphically.

scholarly journals Heat Transfer Exploration of MHD Flow Stream with Changing Viscosity and Thermal Conductivity due to Expandable Surface

2021 ◽  
Vol 8 (6) ◽  
pp. 955-960
Author(s):  
M.C. Kemparaju ◽  
Bommanna Lavanya ◽  
Mahantesh M. Nandeppanavar ◽  
N. Raveendra
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Mhd Flow ◽  
Variable Thermal Conductivity ◽  
Partial Differential ◽  
Linear Ordinary Differential Equations ◽  
Linear Partial Differential Equations ◽  
Non Linear

In this paper an examination is completed to explore the influence of variable thickness and variable thermal conductivity on MHD stream. We have considered the governing stream and heat transfer conditions as partial differential equations. These non-linear partial differential equations are changed to non-linear ordinary differential equations at that point explained numerically utilizing fourth order RK strategy with shooting procedure. The influence of governing factors on velocity and temperature is concentrated through diagrams and numerical estimations of skin frictions and wall temperature inclination are determined, classified and examined.

On the Dirichlet problem for weakly non-linear elliptic partial differential equations

1977 ◽  
Vol 76 (4) ◽  
pp. 283-300 ◽  
Author(s):  
E. N. Dancer
Keyword(s):  
Dirichlet Problem ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Existence Of Solutions ◽  
Elliptic Partial Differential Equations ◽  
Partial Differential ◽  
Weakly Nonlinear ◽  
Partial Derivatives ◽  
Nonlinear Elliptic ◽  
Non Linear

SynopsisWe study the existence of solutions of the Dirichlet problem for weakly nonlinear elliptic partial differential equations. We only consider cases where the nonlinearities do not depend on any partial derivatives. For these cases, we prove the existence of solutions for a wide variety of nonlinearities.

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