Research

Current research area

Community Land Model (CLM) simulation for improving rice crop dynamics

This project is suported by Agriculture and Land Eco-System Division, BPSG, EPSA, Space Applications Centre, ISRO, Ahmedabad

Understanding the effect of climate change on crop production and improving the prediction is a great prominence to society. Incorporation of a comprehensive crop module in land surface models offers the possibility to study global climate change and crop production in response to climate, environmental, land use, and land management changes and may help to improve the uncertainty within in the regional and global scales. There are many biophysical land surface models are existing in the literature, among those models, process-based crop models are used to simulate crop response to climate change. Community Land Model (CLM) is one such open-source model and is coupled with Community Atmosphere Model (CAM) as part of CESM (Community Earth System Model). The CLM has the ability to simulate the soil vegetation-atmosphere system including crop yields, and has been evaluated in multiple studies and capability to simulate the response and feedback to climate through coupled mode. Executing CLM project we require to choose cropland regions in India dominated by rice crop system and intensive inputa data such as initial condition dataset, surface dataset, plant function type and atmospheric data sets. The data set can be obtained from Satellite and tower stations maintained by SAC(ISRO) and NRSC.

2. Analysis of singular solitons in superthermal plasma

Study of nonlinear phenomena in dusty plasma has always been an fundamental research area as it sustains various types nonlinear excitations viz. dust acoustic waves (DAW), dust ion acoustic waves (DIAW), dust lattice waves (DLW), etc. These waves can play an essential role in most applications of plasma physics and they can carry energy from one part of the plasma to other. Most of the studies in the literature mainly focused on DIAWs of solitary waves under the frame work of KdV and KdV Burger’s equation. In particular, the studies related to damped KdV and KdV Burger’s frameworks are restricted to the solitons solutions. Hence, motivated by previous studies, the main prime focus of the this work is to analyse the singular soliton solution of DIAWs governed by the KdV Burger’s equation which designates the dynamics of an unmagnetized plasma involving superthermal (q-nonextensive) electrons, with presence of damping term. The governing dust ion fluidic equations are first evaluated using reductive perturbation technique (RPT) and then solved using decomposition scheme provided by Adomian Decomposition Method and Homotopy Analysis Method. The obtained approximate analytical solution will useful to equate with soliton solution obtained by previous results existing in the literature. This study would in a way to demonstrate the potential and effectiveness of ADM and HAM to evaluate the various kinds of nonlinear equation arising in the soliton theory.

Other research area

Free convective flow of non-Newtonian fluids from vertical bodies

The essence of mathematical tools for exemplifying the practical problems exist in daily life is as antic as the creation of the world. The growth of science and technology were recently accomplished grate attentions of the researcher with the aid of mathematical models in order to understand, describe, and predict future behaviour of the natural phenomena. My research falls broadly on natural convective heat transfer flow of a non-Newtonian fluid from vertical bodies. Particularly, I have focused on viscoelastic non-Newtonian fluids. The governing flow field equations for viscoelastic fluid are highly non-linear in nature. With the aid of numerical finite difference techniques, non-linear nature of the governing partial differential equations is evaluated. In addition to this, I also solve non-linear partial differential equations governed by stretching or shrinking sheet geometry using semi-analytical techniques such as Adomian Decomposition Method, Homotopy Analysis Method, Differential Transfer Method, Variational Iteration Method.

Approximate analytical solution to pressure-driven rheological fluid flow in microchannel

Studies of convective flow of non-Newtonian rheological fluid in microchannels have drawn the attention of many researchers due to its manifold applications in science and engineering fields such as process of microelectronic devices, petrochemical industry, food machinery and biomedical field, micropumps, microvalves, labon-a-chip (LOC) devices, etc. Heavy oils, drilling muds, fracturing fluids, foams, polymer solutions are some common non-Newtonian fluids encountered in the development of oil and gas field. Since the analytical equations for Newtonian fluid hydraulics can be found in the literature, but the same cannot be stated for non-Newtonian fluids due to their complex nonlinear in nature. The majority of these nonlinear governing partial differential equations are solved by numerical techniques such as FDM, FVM and FEM. As such, researchers are still continually looking for ways to solve these problems accurately and efficiently. Therefore, it is of fundamental importance to develop efficient methods such as analytic or semi-analytical techniques to obtain a precise solution of nonlinear transport equations.

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