Investigating peristaltic flow of Newtonian fluid in a permeable channel: Effects of nonlinear curvature and wall properties P. Devaki, Hanumesh Vaidya, Rajashekhar Choudhari, Manjunatha Gudekote, K. V. Prasad, M. Ijaz Khan, Ilyas Khan, Mehdi Akermi, Rym Hassani Numerical Heat Transfer Part A Applications, 2025 This investigation delves into the peristaltic flow characteristics of a Newtonian fluid within a permeable channel, emphasizing the influence of nonlinear curvature and wall properties. The study employs wave trains of varying amplitudes and phases to induce an asymmetric configuration along the channel boundaries. The curvature effects are contingent upon the ratio of channel width to wavelength, and the accuracy of results is maintained up to the second order in δ. To facilitate the derivation of closed-form solutions at higher levels, a domain transformation is executed, converting a channel with a variable cross section into one with a uniform cross section. To impose constraints on parameters and achieve a singular flux in the presence of a specified pressure gradient, a distinctiveness criterion is formulated. This study investigates the interplay of inertia and curvature on pumping and trapping, examining both symmetric and asymmetric channels. The pressure difference escalates with wave number in both channel configurations. Moreover, in the absence of inertial forces and flux, the impact of curvature on the pressure difference demonstrates a direct proportionality. Conversely, an augmentation in the permeability of the porous channel correlates with a reduction in the pressure difference. An intriguing observation arises as phase differences increase: the visibility of the bolus diminishes, and the streamlines become more prominent. This establishes a favorable environment for fluid flow, enhancing our understanding of the intricate dynamics at play in peristaltic flow within permeable channels.
A new methodology on rough lattice using granular concepts B. Srirekha, Shakeela Sathish, P. Devaki Mathematics and Statistics, 2023 Rough set theory has a vital role in the mathematical field of knowledge representation problems. Hence, a Rough algebraic structure is defined by Pawlak. Mathematics and Computer Science have many applications in the field of Lattice. The principle of the ordered set has been analyzed in logic programming for crypto-protocols. Iwinski extended an approach towards the lattice set with the rough set theory whereas an algebraic structure based on a rough lattice depends on indiscernibility relation which was established by Chakraborty. Granular means piecewise knowledge, grouping with similar elements. The universe set was partitioned by an indiscernibility relation to form a Granular. This structure was framed to describe the Rough set theory and to study its corresponding Rough approximation space. Analysis of the reduction of granular from the information table is based on object-oriented. An ordered pair of distributive lattices emphasize the congruence class to define its projection. This projection of distributive lattice is analyzed by a lemma defining that the largest and the smallest elements are trivial ordered sets of an index. A Rough approximation space was examined to incorporate with the upper approximation and analysis with various possibilities. The Cartesian product of the distributive lattice was investigated. A Lattice homomorphism was examined with an equivalence relation and its conditions. Hence the approximation space exists in its union and intersection in the upper approximation. The lower approximation in different subsets of the distributive lattice was studied. The generalized lower and upper approximations were established to verify some of the results and their properties.
Significance of induced magnetic field and thermal radiation: Dynamics of Newtonian fluids subject to viscous dissipation due to temperature gradient Ram Prakash Sharma, S. Ahmed, P. Devaki, Subba Rao Allipudi International Journal of Modern Physics B, 2023 This work is focused on Magneto hydrodynamic unsteady flow of Newtonian fluid flow over a perpendicular porous plate along with chemical reaction, heat, and mass transfer. The induced magnetic field and viscous and magnetic dissipation properties are considered throughout the porous plate. Heat source is the added effect in the model to observe the nature of flow in this work. This study finds its applications in understanding the storage of flues, disposal of radioactive waste materials, flow in water purifies, etc. The nonlinear behavior of the governing equation motivates us to use a finite difference approach for solving equations. The major resolution of this research is to work on how the physical elements affect velocity, temperature, concentration, and magnetic field. Fascinating facts are noticed as the unsteady fluid velocity rises with the heat source parameter because as the heat of a material increases, the movement of the fluid particle will be fast. Due to the presence of a magnetic field high thermal radiation is observed at high temperature and concentration. As the magnetic parameter and magnetic field are inversely proportional according to an induced magnetic field, it is noticed that their magnetic field declines for higher values of magnetic Prandtl number & magnetic parameter. This work has dynamic prominence in the field of medicine and engineering, which develops interest among young researchers.
Analysis of third-grade liquid under the influence of wall slip and variable fluid properties in an inclined peristaltic channel Rajashekhar Choudhari, Oluwole D. Makinde, Fateh Mebarek‐Oudina, Hanumesh Vaidya, Kerehalli V. Prasad, Palluru Devaki Heat Transfer, 2022 Abstract The current model investigates the effect of wall slip on third‐grade liquid flow through an inclined peristaltic channel. The variation in viscosity and thermal conductivity are taken into account, along with wall properties. The governing equations are simplified using long wavelength and small Reynolds number approximations. The transformed equations are solved by using the perturbation technique. Physiological quantities such as velocity, streamlines, temperature, and concentration are obtained for different parameters of interest. The findings show that increasing the variable viscosity and slip term value improves the velocity profile. Furthermore, elasticity factors help flow, but damping causes fluid particles to slow down. Similarly, when the slip, variable viscosity, and inclination parameter values rise, the size of the trapped bolus grows, resulting in more bolus forms. Furthermore, the inclusion of variable properties helps understand the complex rheological properties of blood flowing through narrow or micro arteries.
Impact of hematocriton the flow of casson fluid in contact with jeffery fluid over a narrow pipe Indian Journal of Pure and Applied Physics, 2020
MHD Peristaltic flow of a nanofluid in a constricted artery for different shapes of nanosized particles Palluru Devaki, Bhumarapu Venkateswarlu, Suripddi Srinivas, Sreedharamalle Sreenadh Nonlinear Engineering, 2020 MHD peristaltic transport of copper-water nanofluid in an artery with mild stenosis for different shapes of nanoparticles is studied in this paper. The exact solution is obtained for velocity, temperature and pressure gradient. The influence of all the parameters on velocity, temperature and pressure gradient is observed. The effect of stenosis plays a vital role in this paper, as it finds its application in the field of medicine. It is observed that the nanofluid flows rapidly in the presence of stenosis, which helps in destroying of the stencils soon. The shape of the nanoparticle is another important point to be concentrated due to based on the shape of the nanoparticle the fluid flow depends. The shape of the nanoparticle should be considered as bricks to increase the velocity, temperature and the pressure gradient. But a reversed behavior is observed if the shape of the nanoparticle is chosen as platelets. Streamlines are also concentrated and it is observed that there are more number of boluses if the shape of the nanoparticle is chosen as bricks. The effect of volume of the solid nanoparticle and stenosis warrants further study of the flow of nanofluids in tube and channel.
