## Durga Charan Dalal

##### Teaching and Research

IIT Guwahati

**Durga** **Charan** **Dalal** completed his PhD on “Heat and Mass Transfer of a Dusty Fluid” from IIT Kharagpur and he spent more than two years as a visiting scientist doing research on “River Sedimentation” at the Indian Statistical Institute, Kolkata. He joined IIT Guwahati as a Senior Lecturer of Mathematics in January 1997. Presently, Durga holds a post of Professor. In 2000 he spent one year as a Visiting Professor at University of California, Santa Barbara, USA and worked on “Multiscale Simulation”. At IIT Guwahati, he guided eight research students on different research topics, such as CFD and its applications to Biological Systems, Dispertion Phenomena, Drug Relaese, Drug Delivery through Electropation, Multiscale Modeling of Drug Delivery. He published nearly 50 research articles in Journals of International repute.

## Principal Investigator

### Further information

Research interest in relevance of the project

- String Algorithms
- High Performance Computing

Field of Expertise

- Fluid Dynamics
- CFD, Mass Tranfer
- Drug Delivery
- Multiscale Methods

Selected publications

- Stability Analysis of Drug Dynamics Model: A Mathematical Approach. K. Chakravarty and
**D.C.****Dalal**,*International Journal of Biomathematics (*Accepted), 2019. - Multi-scale analysis for concentration distribution in an oscillatory couette flow. S. Barik and
**D.C.****Dalal****,***Proceedings of Royal Society A,*2019, Vol. 475, Article ID 20180483. - A nonlinear mathematical model of drug delivery from polymeric matrix. K. Chakravarty and
**D.C.****Dalal**,*Bulletin of Mathematical Biology,*2019, Vol. 81, pp. 105-130. - Mathematical modelling of liposomal drug release to tumour. K. Chakravarty and
**D.C.****Dalal****,***Mathematical Bioscience*, 2018, Vol. 306, pp. 82-96. - An analytical study of drug release to biological tissues through endocytosis. K. Chakravarty and
**D.C.****Dalal****,***International Journal of Dynamics and Control*, 2018, Vol. 6(1), pp. 167-178.

Complete list of publications

##### Complete list of publications of Dr. Durga Charan Dalal:

Journal Publications:

- Stability Analysis of Drug Dynamics Model: A Mathematical Approach. K. Chakravarty and D.C. Dalal, International Journal of Biomathematics (Accepted), 2019.
- Multi-scale analysis for concentration distribution in an oscillatory couette flow. S. Barik and D.C. Dalal, Proceedings of Royal Society A London, 2019, Vol. 475, Article ID 20180483.
- A nonlinear mathematical model of drug delivery from polymeric matrix. K. Chakravarty and D.C. Dalal, Bulletin of Mathematical Biology, 2019, Vol. 81, pp. 105-130.
- Mathematical modelling of liposomal drug release to tumour. K. Chakravarty and D.C. Dalal, Mathematical Bioscience, 2018, Vol. 306, pp. 82-96.
- An analytical study of drug release to biological tissues through endocytosis. K. Chakravarty and D.C. Dalal, International Journal of Dynamics and Control, 2018, Vol. 6(1), pp. 167-178.
- An analytical study of drug release kinetics from a degradable polymeric matrix. K. Chakravarty and D.C. Dalal, International Journal of Biomathematics, 2018, Vol. 11(1), 1850011 (23 pages).
- Transvers concentration distribution in an open channel flow with bed absorption: A multi-scale approach. S. Barik and D.C. Dalal, Communications in Nonlinear Science and Numerical Simulation, 2018, Vol. 65, pp. 1-19.
- Mathematical modelling of drug delivery in tissue cells using electroporation. Nilay Mondal, K. Chakravarty and D.C. Dalal, AIP Conference Proceeding, 2018, Vol. 1975, p. 030017 (9 pages).
- On transport coefficients in an oscillatory Couette flow with nonlinear chemical decay reactions. S. Barik and D.C. Dalal, Acta Mechanica, 2017, Vol. 228, pp. 2391-2412.
- A two-phase model for drug release from microparticles with combined effects of solubilisation and recrystallisation. K. Chakravarty and D.C. Dalal, Mathematical Bioscience, 2016, Vol. 272, pp. 24-33.
- A two-layer mathematical modelling of drug delivery to biological tissues. K. Chakravarty and D.C. Dalal, Journal of Physics: Conference Series, 2016, Vol. 759:012023, pp. 1-6.
- Influence of nonlinear chemical reactions on the transport coefficients in oscillatory Couette flow. S. Barik and D.C. Dalal, Journal of Physics: Conference Series, 2016, Vol. 759:012080, pp. 1-6.
- Study of natural convection in a wavy porous enclosure in presence of magnetic field. C. Sarkar, S.K. Pandit and D.C. Dalal, Proceedings of ICCMS2016, 2016, pp. 257-260.
- Analytical solution and analysis for solute transport in streams with diffusive transfer in the hyporheic zone. A. Kumar and D.C. Dalal, Journal of Hydro-environment Research, 2014, Vol. 8(1), pp. 62-73.
- Implementation of a low order mimetic element in freefem++. D.C. Dalal, F. Hecht and O. Pironneau, Journal on Numerical Mathematics, 2013, Vol. 20(3-4), pp. 183-194.
- Transient solution of an incompressible viscous flow in a channel with sudden expansion/contraction. D.C. Dalal and S.K. Pandit, World Academy of Sciences, Engineering and Technology, 2012, Vol. 67, pp. 158-169.
- Analysis of solute transport in rivers with transient storage and lateral inflow: An analytical study. Kumar, A. & Dalal, D.C., Acta Geophysica, 2010, Vol. 58(6), pp. 1094-1114.
- Dalal, D.C. & Pandit, S.K. Numerical study of transient natural convection in a cavity with multiple adiabatic blocks. Proceedings in Applied Mathematics and Mechanics (PAMM), 2008, Vol. 7(1), pp. 2100063–2100064.
- Pandit, S.K., Kalita, J.C. & Dalal, D.C. A fourth-order accurate compact scheme for the solution of steady Navier-Stokes equations on non-uniform grids. Computers & Fluids, 2008, Vol. 37(2), pp. 121-134.
- Pandit, S.K., Kalita, J.C. & Dalal, D.C. A transient higher order compact scheme for incompressible viscous flows on geometries beyond rectangular. Journal of Computational Physics, 2007, Vol. 225(1), pp. 1100-1124.
- Mazumder B.S., Ghoshal K & Dalal D.C. Influence of bed roughness on sediment suspension: Experimental and Theoretical studies. Journal of Hydraulic Research, 2005, Vol. 43(3), pp. 245-257.
- Mazumder B.S., Ray R.N. & Dalal D.C. Size distributions of suspended particles in open channel flow over bed materials. Environmetrics, 2005, Vol. 16(2), pp. 149-165.
- Mazumder B.S., Ghoshal K & Dalal D.C. Effect of bed roughness on suspended sediment: experimental and theoretical studies. Shallow Flows 2004, book edited by Jirka and Uijttewaal (Balkema publisher), pp. 503-509.
- Kalita, J.C. Dass A.K. & Dalal, D.C. A transformation-free HOC scheme for steady convection-diffusion on non-uniform grids. International Journal for Numerical Methods in Fluids, 2004, Vol. 44, pp. 33-53.
- Mazumder B.S. & Dalal D.C. Saltation layer of particles in water flows related to transport stage. Nordic Hydrology, 2003, Vol. 34(4), pp. 343-360.
- A class of Higher Order Compact schemes for the unsteady two-dimensional convection-diffusion equation with variable convection coefficients (with Jiten C. Kalita and Anoop K. Dass), International Journal for Numerical Methods in Fluids Vol. 38, pp. 1111-1131 (2002).
- Fully Compact Higher-order Computation of Steady-state Natural Convection in a Sqaure Cavity (with Jiten C. Kalita and Anoop K. Dass) Physical Review E, Vol. 64(6), pp. 066703-066715 (2001).
- Contaminant Dispersion from an Elevated Time-dependent Source, (with B.S. Mazumder) J. Computational and Applied Mathematics, Vol. 126(1-2), pp. 185-205 (2000).
- Comparison of diffusion based approaches to sediment transport with a stochastic interpretation (with R.N. Bhattacharya, J.K. Ghosh and B.S. Mazumder), Stochastic Hydraulics 2000, edited by Wang and Hu (Balkema publisher), pp. 255-261 (2000).
- Unsteady Natural Convection of a Dusty Fluid in an Infinite Rectangular Channel, (with N.Datta and S.K.Mukherjea) International Journal of Heat and Mass Transfer, 41(3), 547-562 (1998).
- Unsteady Convective Diffusion in Viscoelastic Fluid Flowing through a Tube, (with B.S.Mazumder) Int. J. Non-Linear Mechanics, Vol. 33(1), pp. 135-150 (1998).
- On the Distribution of Axial Velocity and Pressure Gradient in a Pulsatile Flow of Blood through a Constricted Artery, (with H.P. Mazumdar, U.N. Ganguly and S. Ghorai) Indian J. Pure Appl. Math., Vol. 27(11), pp. 1137-1150 (1996).
- Pulsatile Flow and Heat Transfer of a Dusty Fluid through an Infinitely Long Annular Pipe, (with N.Datta) International Journal of Multiphase Flow, Vol. 21, pp. 515-528 (1995).
- Unsteady Heat Transfer to Pulsatile Flow of a Dusty Viscous Incompressible Fluid in a Channel, (with N.datta and S.K.Mishra) International Journal of Heat and Mass Transfer, Vol. 36, pp. 1783-1788 (1993).
- Unsteady Flow of a Dusty Fluid through a Circular Pipe with Impulsive Pressure Gradient, (with N.Datta) Acta Mechanica, Vol. 95, pp.51-57 (1992).
- Generalized Couette Flow of a Dusty Gas, (with N.Datta) Indian Journal of Technology, Vol. 30, pp. 260-264 (1992).

###### Articles in academic conference proceedings (refereed):

- Mathematical modeling of solute transport in rivers, (with Akhilesh Kumar) published in the Proceedings of Recent Trends in Mathematical Modeling and simulation held in the Department of Mathematics, Institute of Technology, Banaras Hindu University, Varanasi during March 18-20, 2010.
- Analytical solution for instantaneous injection of conservative solutes in rivers with hypoheic zone, (with Akhilesh Kumar) published in the Proceedings of 2nd World Aqua Congress held in New Delhi during November 26-28, 2008.
- Analytical solution for continuous injection of solute in rivers with diffusive transfer in the hypoheic zone, (with Akhilesh Kumar) published in the Proceedings of 11th International Conference on Wetland Systems for Water Pollution Control held in Indore during November 1-7, 2008.
- Numerical investigation of vertical evolution in a backward constricted channel flow, (with S.K. Pandit and J.C. Kalita) published in the Proceedings of 2nd International Congress on Computational Mechanics and Simulation (ICCMS- 06) held at the IIT Guwahati during December 8-10, 2006.
- Higher Order Compact Computation of Incompressible Viscous Flows on Non-Uniform Grids, (with Swapan K. Pandit and Jiten C. Kalita), Proceedings of International Conference on Computational & Experimental Sciences-2005 held at the Indian Institute of Technology Madras, Chennai during December 1-6, 2005.
- Higher Order Compact Schemes for Flows in a constricted Tube, (with Swapan K. Pandit and Jiten C. Kalita), Proceedings of 50th Congress of Indian Society of Theoretical & Applied Mechanics-2005 (An international meet) held at the Indian Institute of Technology Kharagpur during December 14-17, 2005.
- Higher Order Compact Schemes for Solving Navier-Stokes Equations on Curvilinear Meshes, (with Swapan K. Pandit and Jiten C. Kalita), Proceedings of 50th Congress of Indian Society of Theoretical & Applied Mechanics (An international meet) held at the Indian Institute of Technology Kharagpur during December 14-17, 2005.
- Buoyancy Ratio Effects on the Double-Diffusive Natural Convection in a Vertical Porous Annulus: An HOC Simulation, (with Jiten C. Kalita and Anoop K. Dass) Proceedings of International Symposium on Recent Trends in Heat and Mass Transfer held at the Indian Institute of Technology Guwahati, India, January 2002, paper no. ISRTHMT 02-125.
- Influence of bed roughness on sediment suspension: Experimental and Theoretical studies (with B.S. Mazumder and K. Ghoshal), Proceedings of conference on Hydraulics, Water Resources and Ocean Engineering – HYDRO 2002 held at the Indian Institute of Technology Bombay, Mumbai, India during December 16-17, 2002.
- Simulation of flow in a differentially heated square cavity for Ra=106 and 107 (with Jiten C. Kalita and Anoop K. Dass) Proceedings of the 27th National Conference on Fluid Mechanics and Fluid Power held at Palghat, India, December 2000, 229-235.
- Comparison of diffusion based approaches to sediment transport with a stochastic interpretation, (with R.N. Bhattacharya, J.K. Ghosh and B.S. Mazumder) Proceedings of 8th International Symposium on Stochastic Hydraulics in Beijing, China, July, 2000.
- Application of HOC method in steady state natural convection in a square cavity: A numerical approach, (with J.C. Kalita) Proceedings of the International Conference on Mathematical Modelling of Nonlinear Systems held at Indian Institute of Technology, Kharagpur during December 9-11, 1999, Vol. II, 114-133.

###### Research report:

- Nourgaliev,R.R., Dinh,T.A., Dalal,D.C., Dinh,T.N., and Theofanous,T.G. (2000), MuSiC: Multiscale Simulation Code. ”PART I: Modeling of Complex Fluid-Fluid and Fluid-Solid Interactions using the Level Set and ’Ghost Fluid’ Methodology. Single- and Multiphase Compressible Flows”, CRSS-Research Report, 209p., November 20, 2000. Report prepared for U.S. Nuclear Regulatory Commission (available at www.crss.ucsb.edu/music).
- Nourgaliev,R.R., Dinh,T.A., Dalal,D.C., Dinh,T.N., and Theofanous,T.G. (2001), MuSiC: Multiscale Simulation Code. ”PART II: Modeling of Complex Single and Multiphase Incompressible Flows”, CRSS-Research Report, 218p., March 20, 2001. Report prepared for U.S. Nuclear Regulatory Commission (available at www.crss.ucsb.edu/music).

Contact details

Address:

Indian Institute of Technology (IIT) Guwahati

Guwahati 781039

Assam, India

Phone: +91 361 258 2615 (Work) +91 361 258 4615 (Home)

Fax: +91 361 258 2649