A new approach for inextensible flows of binormal spherical indicatrices of magnetic curves

2019 ◽  
Vol 16 (02) ◽  
pp. 1950020 ◽  
Author(s):  
Talat Korpinar ◽  
Selçuk Baş
Keyword(s):  
Magnetic Field ◽  
Riemannian Manifold ◽  
Charged Particle ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Partial Differential ◽  
New Approach ◽  
Inextensible Flows ◽  
Physical Features

In this study, we obtain the special type of magnetic trajectories associated with a magnetic field [Formula: see text] defined on a 3D Riemannian manifold. We investigate a new representation of binormal spherical indicatrices of magnetic curves. Thus, we study [Formula: see text]-magnetic curves terms of inextensible flows. Furthermore, we give some new characterizations of curvatures in terms of some partial differential equations. Finally, we examine some geometrical and physical features of the moving charged particle corresponding to the [Formula: see text]-magnetic curves. Namely, we compute uniformity of the [Formula: see text]-magnetic curves.

Magnetohydrodynamic Mixed Convective Flow Due to a Vertical Plate With Induced Magnetic Field

2018 ◽  
Vol 10 (6) ◽  
Author(s):  
R. Nandkeolyar ◽  
M. Narayana ◽  
S. S. Motsa ◽  
P. Sibanda
Keyword(s):  
Magnetic Field ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Fluid Velocity ◽  
Nonlinear Partial Differential Equations ◽  
Linearization Method ◽  
Fluid Temperature ◽  
Magnetic Field Effects ◽  
Induced Magnetic Field ◽  
Partial Differential

The steady hydromagnetic flow of a viscous, incompressible, perfectly conducting, and heat absorbing fluid past a vertical flat plate under the influence of an aligned magnetic field is studied. The flow is subject to mixed convective heat transfer. The fluid is assumed to have a reasonably high magnetic Prandtl number which causes significant-induced magnetic field effects. Such fluid flows find application in many magnetohydrodynamic devices including MHD power-generation. The effects of viscous dissipation and heat absorption by the fluid are investigated. The governing nonlinear partial differential equations are converted into a set of nonsimilar partial differential equations which are then solved using a spectral quasi-linearization method (SQLM). The effects of the important parameters on the fluid velocity, induced magnetic field, fluid temperature and as well as on the coefficient of skin-friction and the Nusselt number are discussed qualitatively.

scholarly journals A New Method for Inextensible Flows of Timelike Curves in Minkowski Space-Time E14

2014 ◽  
Vol 2014 ◽  
pp. 1-7 ◽  
Author(s):  
Talat Körpinar
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Minkowski Space ◽  
Space Time ◽  
New Method ◽  
Frenet Frame ◽  
Partial Differential ◽  
Minkowski Space Time ◽  
Inextensible Flows ◽  
The Given

We construct a new method for inextensible flows of timelike curves in Minkowski space-time E14. Using the Frenet frame of the given curve, we present partial differential equations. We give some characterizations for curvatures of a timelike curve in Minkowski space-time E14.

New inextensible flows of principal normal spherical image

2017 ◽  
Vol 11 (01) ◽  
pp. 1850001 ◽  
Author(s):  
Talat Körpinar
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Spherical Image ◽  
Partial Differential ◽  
Geometric Properties ◽  
Inextensible Flows

In this work, we study normal spherical indicatrices (images) in terms of inextensible flows in [Formula: see text]. We discuss the geometric properties of the normal spherical indicatrices. Furthermore, we give some new characterizations of curvatures in terms of some partial differential equations in [Formula: see text].

scholarly journals Heat Transfer Reaction on a Viscous Dissipative Free Convective Radiating Stream over a Permeable Laminate within Presence of Induced Magnetic Field

2020 ◽  
Vol 9 (3) ◽  
pp. 2057-2062
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Partial Differential Equations ◽  
Magnetic Flux ◽  
Differential Equations ◽  
Heat Source ◽  
Transfer Reaction ◽  
Induced Magnetic Field ◽  
Fundamental Point ◽  
Physical Features

The fundamental point of the paper is to inspect the heat transfer consequence on a viscous dissipative unconfined convective Radiating stream over a permeable shield in the existence of induced- magnetic flux. Consistent magnetic field of force will be applied vertically towards the plate which is electrically non-conducting. Partial differential equations which are non linear coupled worked out by Galerkin technique, the consequence of Radiation with Heat source parameter and other physical features on velocity, temperature along with induced-magnetic field are explained by graphs.

Numerical Analysis of Peristaltic Transport of Casson Fluid for non-zero Reynolds Number in Presence of the Magnetic Field

2018 ◽  
Vol 7 (3) ◽  
pp. 183-193 ◽  
Author(s):  
T. Javed ◽  
B. Ahmed ◽  
A.H. Hamid ◽  
M. Sajid
Keyword(s):  
Magnetic Field ◽  
Reynolds Number ◽  
Partial Differential Equations ◽  
Differential Equations ◽  
Longitudinal Velocity ◽  
Casson Fluid ◽  
Moving Frame ◽  
Partial Differential ◽  
Long Wavelength ◽  
Moderate Reynolds Number

Abstract In this study, the peristaltic flow of a Casson fluid in a channel is considered in the presence of an applied magnetic field. Flow is considered in the moving frame of reference with constant velocity along the wave. The developed mathematical model is presented by a set of partial differential equations. A numerical algorithm based on finite element method is implemented to evaluate the numerical solution of the governing partial differential equations in the stream-vorticity formulation. The obtained results are independent of low Reynolds number and long wavelength assumptions, so the effects of non-zero moderate Reynolds number are presented. The expression for the pressure is also calculated implicitly and discussed through graphs. Computed solutions are presented in the form of contours of streamlines and vorticity. Velocity profile and pressure distribution for variation of different involved parameters are also presented through graphs. The investigation shows that the strength of circulation for stream function increases by increasing the Reynolds and Hartmann numbers. Enhancement in longitudinal velocity is noted by increasing the Reynolds number and Casson parameter while increasing Hartmann number reduces the longitudinal velocity. Comparison of the present results with the available results in literature is also included and found in good agreement.

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