Analysis of respiratory mechanics models with different kernels

Abstract

In this article, we investigate the mechanics of breathing performed by a ventilator with different kernels by an effective integral transform. We mainly obtain the solutions of the fractional respiratory mechanics model. Our goal is to give the underlying model flexibly by making use of the advantages of the non-integer order operators. The big advantage of fractional derivatives is that we can formulate models describing much better the systems with memory effects. Fractional operators with different memories are related to different types of relaxation process of the non-local dynamical systems. Additionally, since we consider the utilisation of different kinds of fractional derivatives, most often having benefit in the implementation, the similarities and differences can be obviously seen between these derivatives.

Quadratic regression estimation of hybridized nanoliquid flow using Galerkin finite element technique considering shape of nano solid particles

“…The significance of several nanomolecules shaped is identified as the nanomolecules shaped influence. Figure 2 gives the values of the practical shaped component for different element shapes are obtained as (Akgül et al, 2022): Figure 3 demonstrates the themophysical values of the used materials of HNF.…”

“…Din et al (Din et al, 2022) assumed the entropy generation from convective released moving exponential porous fins with VTC and interior temperature compeers. For more details see Refs (Akgül et al, 2022;Attia et al, 2022;Ahmad et al, 2022b;Bilal et al, 2022;Qureshi et al, 2022;Safdar et al, 2022).…”

Improved finite element method for flow, heat and solute transport of Prandtl liquid via heated plate

“…Future applications of the Galerkin finite element algorithm (G-FEA) could include a range of physical and technological difficulties 11,[50][51][52][53][54][55][56][57][58][59] . According to [60][61][62][63][64][65][66][67][68][69][70] , there have been several recent advancements that explore the importance of the research domain under consideration.…”

Galerkin Finite Element Process for Entropy Production and Thermal Evaluation of Third-Grade Fluid Flow: A Thermal Case Study

“…Future applications of the G-FEM include a range of physical and technological difficulties [66][67][68][69][70][71][72][73][74][75][76][77]. According to [78][79][80][81][82][83][84][85][86][87], there have been several recent advancements with respect to the importance of the research domain under consideration. The velocity profile can be increased by adjusting the Deborah number (β 2 , β 3 ) and injection parameters, although porous media, volume fraction nanoparticles, velocity slide, and force parameters reduce the speed of the movement.…”

“…Future applications of the G-FEM include a range of physical and technological difficulties [66][67][68][69][70][71][72][73][74][75][76][77]. According to [78][79][80][81][82][83][84][85][86][87], there have been several recent advancements with respect to the importance of the research domain under consideration.…”