Manoj K Banerjee’s insights in intermediate energy nuclear physics

Professor Manoj Banerjee had a commanding arsenal of techniques to gain insight into the secrets of the nucleon. After a brief overview of some of his contributions in intermediate energy nuclear physics, we describe the chiral quark-meson model of the nucleon that he developed with Birse and Broniowski.     

The equivalence of the Strutinsky type smoothing and the temperature averaging method

The Fermi gas model of the nucleus at high temperatures can be used to define a ground state shell correction. We demonstrate analytically that the shell correction so obtained is the same as that obtained from the Strutinsky type method.     

Studies on the nef reaction induced by organic bases

Studies of the Nef reaction in the presence of primary, secondary and tertiary amines have been described. A convenient synthesis of N-substituted pyrroles and 3,6-dimethyl-4-hydrazinocarbonyl-5-(4-amino-3-nitrophenyl)-pyridazine 16 has been developed.     

Mathematical modelling of flows in recessed wall flame holder

A finite difference procedure has been employed to predict the flow situation in a recessed wall flame holder with and without combustion. Turbulence has been modelled by an ad hoc effective viscosity law. A single step chemical reaction has been assumed in dealing with the flows involving combustion. The predicted physical parameters have been compared with the experimental results. It has been argued that with the simplifying assumptions on turbulence and chemical kinetics the numerical procedure is adequately accurate to predict the important design parameters such as flame length and blow-off velocity. However, there are significant discrepancies between the predicted and measured distribution of velocity and temperature which could be attributed mainly to the inadequate turbulence modelling.     

Diffraction phase microscopy with white light

We present white light diffraction phase microscopy (wDPM) as a quantitative phase imaging method that combines the single shot measurement benefit associated with off-axis methods, high temporal phase stability associated with common path geometries, and high spatial phase sensitivity due to the white light illumination. We propose a spatiotemporal filtering method that pushes the limit of the pathlength sensitivity to the subangstrom level at practical spatial and temporal bandwidths. We illustrate the utility of wDPM with measurements on red blood cell morphology and HeLa cell growth over 18 hours.