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Magnetogravitational Instability of a Thermally Conducting Rotating Rivlin-Ericksen Fluid with Hall Current


Affiliations
1 Department of Mathematics, Government Postgraduate College, Mandi, 175 001, India
2 Department of Mathematics, Himachal Pradesh University, Shimla-171 005, India
3 Department of Mathematics, Government (Boys) Senior Secondary School, Sunder Nagar, Distt. Mandi-174 401, India
     

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Magnetogravitational instability of a thermally conducting, rotating Rivlin-Ericksen fluid with finite conductivity in the presence of Hall-current with a uniform vertical magnetic field has been investigated. A general dispersion relation has been derived through relevant linearized perturbation equations. The effects of Hall currents and rotation on the condition of instability of system is examined for both longitudinal and transverse modes of propagation and it is found that for longitudinal propagation; viscoelasticity has damping effect on the system and Jeans' criterion remains unaffected.The effects of rotation and magnetic field are not observed in the modified Jeans' condition of instability,whereas in the presence of thermal conductivity, the system is necessarily stable if Jeans' condition is not satisfied. The stability of the system is discussed using Routh-Hurwitz criterion. For transverse mode of propagation;the magnetic field and rotation stabilize the system. Jeans'criterion is also discussed for instability and stability of the system.

Keywords

Magnetogravitational Instability, Thermally Conducting, Rotating Rivlin-Ericksen Fluid, Hall- Current, Dispersion Relation.
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  • Magnetogravitational Instability of a Thermally Conducting Rotating Rivlin-Ericksen Fluid with Hall Current

Abstract Views: 206  |  PDF Views: 1

Authors

Sanjeev Kumar
Department of Mathematics, Government Postgraduate College, Mandi, 175 001, India
Veena Sharma
Department of Mathematics, Himachal Pradesh University, Shimla-171 005, India
Kamal Kishor
Department of Mathematics, Government (Boys) Senior Secondary School, Sunder Nagar, Distt. Mandi-174 401, India

Abstract


Magnetogravitational instability of a thermally conducting, rotating Rivlin-Ericksen fluid with finite conductivity in the presence of Hall-current with a uniform vertical magnetic field has been investigated. A general dispersion relation has been derived through relevant linearized perturbation equations. The effects of Hall currents and rotation on the condition of instability of system is examined for both longitudinal and transverse modes of propagation and it is found that for longitudinal propagation; viscoelasticity has damping effect on the system and Jeans' criterion remains unaffected.The effects of rotation and magnetic field are not observed in the modified Jeans' condition of instability,whereas in the presence of thermal conductivity, the system is necessarily stable if Jeans' condition is not satisfied. The stability of the system is discussed using Routh-Hurwitz criterion. For transverse mode of propagation;the magnetic field and rotation stabilize the system. Jeans'criterion is also discussed for instability and stability of the system.

Keywords


Magnetogravitational Instability, Thermally Conducting, Rotating Rivlin-Ericksen Fluid, Hall- Current, Dispersion Relation.