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Subject: Mathematics × End date: 2009 × Start date: 2004 × Thesis Type: M.Sc ×
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    ThesisItemOpen Access
    A study of thermo-magnetic effects on static state of cholesteric liquid crystal between two hot co-axial circular cylinders
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2009-06) Gangwar, Sukhdev Singh; Sharma, A.K.
    Liquid crystal the fourth state of matter is observed between the crystalline solid and amorphous liquid states. It exihibits the properties of liquids as well as that of crystalline solid state. In the present study we have considered an infinite static layer of cholesteric liquid crystal lying between two infinite hot co-axial circular cylinders in the presence of azimuthal magnetic field when both the cylinders are held at different temperatures and are lying at rest. We have examined the thermo-magnetic effects in this problem. After obtaining the system of governing differential equations we have solved it numerically by Newton Raphson method. The results are then graphically plotted. It has been observed that orientation of molecules varies with the variation of magnetic field and temperature gradient parameters.
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    ThesisItemOpen Access
    A study on effects of uniform magnetic field on flow of cholesteric liquid crystals between two relativaly moving parallel hot plates
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2004-06) Meena Kumari; Sharma, A.K.
    A study has been conducted on the flow of an incompressible cholesteric liquid crystals with director of unit magnitude between two infinite relatively moving parallel hot plates with the objective: To examine the effects of uniform magnetic field in (x,y,z) directions in the plane of the lower plate which is at rest while the upper plate is motion with a uniform horizontal velocity and the two plates are maintained at different temperature. Differential equations governing the two components of horizontal velocity ( u) and (v) , orientations of directors (θ ) and (Φ) have been formed and solved by using couple stress boundary conditions. In the solution of these equations, we observe that there is no effect of magnetic field on the two velocity components, but they increase with the increase in thermal gradient parameter (E1).The effect of magnetic field on the orientation of molecules (θ) and (Φ) causes variation in their profile.
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    ThesisItemOpen Access
    A study on effects of uniform magnetic field on flow of cholesteric liquid crystals between two relativaly moving parallel hot plates
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2004-06) Meena Kumari; Sharma, A.K.
    A study has been conducted on the flow of an incompressible cholesteric liquid crystals with director of unit magnitude between two infinite relatively moving parallel hot plates with the objective: To examine the effects of uniform magnetic field in (x,y,z) directions in the plane of the lower plate which is at rest while the upper plate is motion with a uniform horizontal velocity and the two plates are maintained at different temperature. Differential equations governing the two components of horizontal velocity ( u) and (v) , orientations of directors (θ ) and (Φ) have been formed and solved by using couple stress boundary conditions. In the solution of these equations, we observe that there is no effect of magnetic field on the two velocity components, but they increase with the increase in thermal gradient parameter (E1).The effect of magnetic field on the orientation of molecules (θ) and (Φ) causes variation in their profile.
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    ThesisItemOpen Access
    Mathematical modeling of impact evaluation and phytoremediation of pulp and paper industry effluent
    (G.B. Pant University of Agriculture and Technology, Pantnagar - 263145 (Uttarakhand), 2004-06) Sanjeev Kumar; Dube, K.K.
    The problem of pollution as a consequence of increased industrialization is, by now, a well-known phenomenon. In case of pollution in water, the problem is more serious. Not only industrial wastes, but also discharge of domestic waste water and sewage can be major pollutant. In present investigation three mathematical models first on the impact of pulp and paper mill effluent on soil microbial biomass, second on the effluent impact on soil microbial activities and third on phytoremediation of pulp and paper mill effluent employing Eichhornia crassipes have been developed. In first and second models the variates taken into consideration decreased exponentially with increase in the distance from the source of pollution, whereas in the third model similar decrease was observed with the increase in duration of phytoremediation. The former two models are valid for only point source pollution impact and not for non-point source pollution where varieties of unknown factors contribute towards ill impact of pollutants. The third model is equally prominent for devising technique to get rid off the ill impact of the industrial effluent. The mathematical model presented here provides a fairly accurate prediction of the ill impact of pollutant present in pulp and paper mill effluent and its remedial measure employing plant like Eichhornia crassipes. These models could be used for predicting the ill impact of other industrial waste water and their removal through phytoremediation technique, as well.