Conversion of energy equation for fiber suspensions in dusty fluid turbulent flow

Abstract Turbulent energy plays a vital role in science and industries. Fiber suspension in turbulent flows has received significant attention since the electrical, thermal, and mechanical characteristics of the relating fiber composites are tactful to the spatial configuration and orientation of fibers. Turbulent energy can be affected by the fibers passes through the turbulent flow. It is further influenced by the occurrence of dust or other particles. The impact of the fibers along with such particles needs to be studied. To analyze the impact, it is very important to model dusty fluid turbulent fiber motion which can be substantially utilized in science and industries. Therefore, this study aims to construct a model for dusty fluid turbulent energy of fiber suspensions. The energy equation for turbulent flow was taken into account to develop the model. The turbulent fiber motion for dusty fluid was derived in correlation tensors, where the tensors are the function of distance, time, and space coordinates.