Dr Shukla had proposed a new deterministic theory regarding the effect of surface roughness in lubrication which was considered a breakthrough. He has done significant work on Biofluid dynamics, in particular peristaltic transport of faeces in intestines and on interaction of biorheological aspects of blood flow and arterial stenosis. Prof. Shukla has also made important contributions in the area of population dynamics of interacting species and mathematical theory of epidemics by taking into account environmental effects. His work on mathematical models on air-pollution is well recognized.