Exact Analytical Solution of the Peristaltic Nanofluids Flow in an Asymmetric Channel with Flexible Walls and Slip Condition: Application to the Cancer Treatment

Abstract

In the cancer treatment, magnetic nanoparticles are injected into the blood vessel nearest to the cancer's tissues. The dynamic of these nanoparticles occurs under the action of the peristaltic waves generated on the flexible walls of the blood vessel. Studying such nanofluid flow under this action is therefore useful in treating tissues of the cancer. In this paper, the mathematical model describing the slip peristaltic flow of nanofluid was analytically investigated. Exact expressions were deduced for the temperature distribution and nano-particle concentration. In addition, the effects of the slip, thermophoresis, and Brownian motion parameters on the temperature and nano-particle concentration profiles were discussed and further compared with other approximate results in the literatures. In particular, these results have been obtained at the same values of the physical examined parameters that was considered in Akbar et al., “Peristaltic flow of a nanofluid with slip effects,” 2012. The results reveal that remarkable differences are detected between the exact current results and those approximately obtained in the literatures for behaviour of the temperature profile and nano-particles concentration. Accordingly, the current analysis and results are considered as optimal and therefore may be taken as a base for any future comparisons.

Mathematical model for ciliary-induced transport in MHD flow of Cu-H 2 O nanofluids with magnetic induction

“…Further investigations of nanofluids in biomedical applications include Anghel and Grumezescu [9] who have demonstrated the excellent bacterial adherence (biofilm) inhibiting characteristics of nanofluid oils in the smart design of novel material surfaces for prosthetic devices. Other analytical articles considering nanofluid dynamics in medicine include Ebaid and Aly [10] for peristaltic flows, Akbar et al [11] for curved tube peristaltic transport of copper nanofluids, Saurin et al [12] for ionic nanofluid bio-lubrication systems (hip joints), Bég et al [13] for swirling mixing systems in nano-biopolymers and very recently Uddin et al [14] for gyrotactic bioconvection in slip Sakiadis flows of nano-polymer sheet manufacturing processes. In the context of cilia hydrodynamics, several studies addressing nanofluid transport have also been communicated.…”

Thermal radiation and variable electrical conductivity effects on MHD peristaltic motion of Carreau nanofluids: Radiotherapy and thermotherapy of oncology treatment

“…Baskar et al discussed the relationship between cancer and radiation therapy in a novel method and found that the radiation can be delivered with the integration of molecular targeted therapy and the therapeutic ratio of the radiation treatment. For more details in this direction see Delaney et al, Ebaid and Aly, Jackson and Bartek, and Bernier et al…”

Analysis of Entropy Generation in Flow of Methanol-Based Nanofluid in a Sinusoidal Wavy Channel

“…The peristaltic transport of nanoparticles has applications in the treatment of malignant tumors, magnetic resonance imaging to diagnose bleeding reduction during diseases, in cancer therapy, and in the transport of drugs. In view of this, important contributions of peristaltic transport of nanofluids have been studied [13][14][15][16][17][18][19][20][21][22].…”