Nonlinear break up of an infinite cylinder in the presence of a uniform axial magnetic field

A third-order theory has been developed to study the instability of an infinite cylinder in the presence of a uniform axial magnetic field. By use of strained coordinates, the growth of the surface waves is calculated for wave numbers less than the critical wave number. It is observed that the perturbed surface of an infinite cylinder assumes a non-sinusoidal shape resulting in secondary waves due to energy transfer between the harmonics of different orders.Department of Chemical Engineering and Technology.Department of Mathematics.     

Non-point source pollution in Indian agriculture: Estimation of nitrogen losses from rice crop using remote sensing and GIS

The paper presents a detailed understanding of nitrogenous fertilizer use in Indian agriculture and estimation of seasonal nitrogen loosses from rice crop in Indo-Gangetic plain region, the ‘food bowl’ of the Indian sub-continent. An integrated methodology was developed for quantification of different forms of nitrogen losses from rice crop using remote sensing derived inputs, field data of fertilizer application, collateral data of soil and rainfall and nitrogen loss coefficients derived from published nitrogen dynamics studies. The spatial patterns of nitrogen losses in autumn or ‘kharif’ and spring or ‘rabi’ season rice at 1 × 1 km grid were generated using image processing and GIS. The nitrogen losses through leaching in form of urea-N, ammonium-N (NH₄-N) and nitrate-N (NO₃-N) are dominant over ammonia volatilization loss. The study results indicate that nitrogen loss through leaching in kharif and rabi rice is of the order of 34.9% and 39.8% of the applied nitrogenous fertilizer in the Indo-Gangetic plain region. This study provides a significant insight to the role of nitrogenous fertilizer as a major non-point source pollutant from agriculture.     

Impact of dust storm on the atmospheric boundary layer: a case study from western India

Natural Hazards - The present study focuses on investigating the impacts of a sudden dust storm on the atmospheric boundary layer (ABL) over Ahmedabad (23.02°N, 72.57°E), an urban site...     

Drag on non-spherical particles in power law non-Newtonian media

The free settling velocity of cylinders and disks falling in quiescent Newtonian and power law liquids has been measured over wide ranges of experimental conditions of the particle Reynolds number (10^− 5–∼300), power law flow behaviour index (0.31–1) and the length-to-diameter ratio, ∼0.4–∼14. The corresponding range of sphericity is 0.62 to 0.86. An existing drag expression which has been tested extensively for spherical particles falling in Newtonian and in power law fluids has been slightly modified here for non-spherical particles. In particular, the use of this drag expression necessitates a knowledge of an equal volume sphere diameter (to evaluate the Reynolds number and drag coefficient) and the ratio of the surface area to the projected area of a non-spherical particle. With these modifications, the approach outlined here reproduces the present and the literature data for a wide range of non-spherical particles including cones, prisms, needles, cylinders settling in both Newtonian and power law fluids with reasonable levels of accuracy.     

Land Use/Land Cover Change Mapping In Mahi Canal Command Area, Gujarat, Using Multi-temporal Satellite Data

The temporal changes (1988-89 to 1997) in land-use/land cover were studied using multi-temporal satellite data in Mahi Right Bank Canal (MRBC) command area in Kheda district of Gujarat state. The canal command area is affected by waterlogging and salinity. The land-use/land cover change is maximum in a distributary (Lambhvel) situated in highly urbanised zone around Anand city, where built-up area increased from 205 ha to 868 ha. In Nadiad command area also there is an increase in urban area from 281 ha to 460 ha, causing a decrease in agricultural area. Waterlogging is significant in Pansora command area with 586 ha of waterlogged area in 1997. Water logging has also increased in commands of other distributaries. The salt affected area has increased in Chikhaliya command whereas it has decreased in Manej command.     

Greenhouse gas emissions from Indian livestock

Livestock constitutes an integral component of Indian agriculture sector and also a major source of GHGs emissions. The study presents a detailed inventory of GHG emissions at district/state level from different age-groups, indigenous and exotic breed of different Indian livestock categories estimated using the recent census 2003 and country-specific emission coefficients based on IPCC guidelines. The total methane emission including enteric fermentation and manure management of livestock was estimated at 11.75 Tg/year for the year 2003. Enteric fermentation constitutes ~91 % of the total methane emissions from Indian livestock. Dairy buffalo and indigenous dairy cattle together contribute 60 % of the methane emissions. The total nitrous oxide emission from Indian livestock for the year 2003 is estimated at 1.42 Gg/year, with 86.1 % contribution from poultry. The total GHGs emission from Indian livestock is estimated at 247.2 Mt in terms of CO₂ equivalent emissions. Although the Indian livestock contributes substantially to the methane budget, the per capita emission is only 24.23 kgCH₄/animal/year. Using the remote sensing derived potential feed/fodder area available for livestock, the average methane flux was calculated as 74.4 kg/ha. The spatial patterns derived in GIS environment indicated the regions with high GHGs emissions that need to be focused subsequently for mitigation measures. The projected estimates indicate a likely increase of 40 % in methane emissions from buffalo population.     

Nonlinear break-up of magnetohydrodynamic jet

A nonlinear analysis is presented to take into account the effect of a magnetic field on the capillary instability of a fluid jet, using the method of strained coordinates. The growth of the surface waves is calculated for wave number less than the critical wave number. A third-order solution shows that, as a result of the interaction among the lower harmonics, not only a higher harmonic appears; but there is also a feed back into the fundamental harmonic. It is important to note that the magnetic field has the effect of making the evolution curves of the disturbances symmetric about the axis as compared to the highly asymmetric pattern which prevails in its absence.Department of Chemical Engieering and TechnologyDepartment of Mathematics.     

Assessment of Major Pools and Fluxes of Carbon in Indian Forests

The major pools including phytomass, soil, litter, and fluxes of carbon (C)due to litterfall and landuse changes were estimated for Indian forests. Basedon growing stock-volume approach at the state and district levels, the Indianforest phytomass was estimated in the range of 3.8–4.3 PgC. The totalsoil organic pool in the top 1m depth was estimated as 6.8 PgC, usingestimated soil organic carbon densities and Remote Sensing (RS) based area byforest types. Based on 122 published Indian studies and RS-based forest area,the total litterfall carbon flux was estimated as 208.8 MgCha^–1 yr^–1.The cumulative net carbon flux (1880–1996) from Indian forests(1880–1996) due to landuse changes (deforestation, afforestation andphytomass degradation) was estimated as 5.4 PgC, using a simple book-keepingapproach. The mean annual net C flux due to landuse changes during1985–1996 was estimated as 9.0 TgC yr^–1. For the recentperiod, the Indian forests are nationally a small source with some regionsacting as small sinks of carbon as well. The improved quantification of poolsand fluxes related to forest carbon cycle is important for understanding thecontribution of Indian forests to net carbon emissions as well as theirpotential for carbon sequestration in the context of the Kyoto protocol.     

Nonlinear stability of an infinite cylinder in the presence of a uniform axial magnetic field

The effect of a uniform axial magenetic field on the nonlinear instability of a self-gravitating infinite cylinder is examined. Using the method of multiple scales, it is found that while the nonlinear (modulational) instability cannot be completely suppressed, the presence of a magnetic field does increase the range of stable wave numbers. The evolution of the amplitude is governed by a non-linear Schrödinger equation which gives the criterion for modulational instability.Department of Chemical Engineering and Technology.Department of Mathematics.     

Nonlinear standing waves on the surface of a self-gravitating cylinder

The weakly nonlinear standing waves on the surface of a self-gravitating incompressible fluid column are investigated in the presence of, a uniform axial-magnetic field. By use of the method of multiple scales, we have shown that near the critical wave number, the amplitude modulation of a standing wave can be described by a nonlinear Schrödinger equation with the roles of time and space variable interchanged. It is demonstrated that in presence of a magnetic field, the system is always stable near the critical wave number.Department of Chemical Engineering, and TechnologyDepartment of Mathematics