Abstract
Our major focus in this analysis is to study the peristaltic motion of fluid by considering the homogeneous–heterogeneous reaction aspect. Prandtl nanofluid has been carried out for this purpose. Magnetic field is applied in the perpendicular direction to the flow. Joule heating effect is also considered in this analysis. Buongiorno nanofluid model has been used which incorporates two prominent slip mechanisms, i.e., Brownian motion and thermophoresis. The second law of thermodynamics has been utilized for entropy generation analysis. No-slip boundary conditions are employed for the considered analysis. NdSolve command of Mathematica 9.0 is employed for the solution of problem. Graphs for pertinent parameters are plotted and analyzed. These graphs contain velocity, temperature, homogeneous–heterogeneous reaction, entropy, and heat transfer coefficient. Key points of the investigation are collected in the conclusion.
Similar content being viewed by others
References
S.U.S. Choi, Enhancing thermal conductivity of the fluids with nanoparticles. ASME Fluids Eng. Div. 231, 99–105 (1995)
L. Zheng, C. Zhang, X. Zhang, J. Zhang, Flow and radiation heat transfer of a nanofluid over a stretching sheet with velocity slip and temperature jump in porous medium. J. Frankl. Inst. 350, 990–1007 (2013)
L. Yang, K. Du, A comprehensive review on heat transfer characteristics of \(\text{ TiO }_{2}\) nanofluids. Int. J. Heat Mass Trans. 108, 11–31 (2017)
M. Sheikholeslami, Finite element method for PCM solidification in existence of CuO nanoparticles. J. Mol. Liq. 265, 347–355 (2018)
M. Sheikholeslami, B. Rezaeianjouybari, M. Darzi, A. Shafee, Z. Li, T.K. Nguyen, Application of nano-refrigerant for boiling heat transfer enhancement employing an experimental study. Int. J. Heat Mass Transf. 141, 974–980 (2019)
T. Hayat, S. Nawaz, A. Alsaedi, B. Ahmad, Peristaltic activity of blood-titanium nanofluid subject to endoscope and entropy generation. J. Braz. Soc. Mech. Sci. Eng. 40, 574 (2018)
S. Mosayebidorcheh, M. Hatami, Analytical investigation of peristaltic nanofluid flow and heat transfer in an asymmetric wavy wall channel. Int. J. Heat Mass Trans. 126, 790–799 (2018)
M. Sheikholeslami, R. Haq, A. Shafee, Z. Li, Y.G. Elaraki, I. Tlili, Heat transfer simulation of heat storage unit with nanoparticles and fins through a heat exchanger. Int. J. Heat Mass Transf. 135, 470–478 (2019)
M. Sheikholeslami, M. Jafaryar, Z. Li, Nanofluid turbulent convective flow in a circular duct with helical turbulators considering CuO nanoparticles. Int. J. Heat Mass Transf. 124, 980–989 (2018)
M. Sheikholeslami, R. Haq, A. Shafee, Z. Li, Heat transfer behavior of nanoparticle enhanced PCM solidification through an enclosure with V shaped fins. Int. J. Heat Mass Transf. 130, 1322–1342 (2019)
T.W. Latham, Fluid motion in a peristaltic pump, MS Thesis, MIT, Cambridge, MA (1966)
A.H. Shapiro, M.Y. Jafrin, S.L. Weinberg, Peristaltic pumping with long wavelengths at low Reynolds number. J. Fluid Mech. 37, 799–825 (1969)
M.M. Bhatti, A. Zeeshan, N. Ijaz, O.A. Bég, A. Kadir, Mathematical modelling of nonlinear thermal radiation effects on EMHD peristaltic pumping of viscoelastic dusty fluid through a porous medium duct. Eng. Sci. Technol. Int. J. 20, 1129–1139 (2017)
S. Hina, M. Mustafa, T. Hayat, A. Alsaedi, Peristaltic flow of Powell-Eyring fluid in curved channel with heat transfer: A useful application in biomedicine. Comput. Methods Programs Biomed. 135, 89–100 (2016)
K. Javid, N. Ali, M. Sajid, Simultaneous effects of viscoelasticity and curvature on peristaltic flow through a curved channel. Meccanica 51, 87–98 (2016)
T. Hayat, H. Zahir, A. Tanveer, A. Alsaedi, Soret and Dufour effects on MHD peristaltic flow of Prandtl fluid in a rotating channel. Results Phys. 8, 1291–1300 (2018)
G.C. Shit, N.K. Ranjit, Role of slip velocity on peristaltic transport of couple stress fluid through an asymmetric non-uniform channel: Application to digestive system. J. Mol. Liq. 221, 305–315 (2016)
J. Prakash, A. Sharma, D. Tripathi, Thermal radiation effects on electroosmosis modulated peristaltic transport of ionic nanoliquids in biomicrofluidics channel. J. Mol. Liqs. 249, 843–855 (2018)
A. Alsaedi, N. Batool, H. Yasmin, T. Hayat, Convective heat transfer analysis on Prandtl fluid model with peristalsis. Appl. Bionics Biomech. 10, 197–208 (2013)
N.N. Jyothi, P. Devaki, S. Sreenadh, Analysis of magnetic field on the peristaltic transport of Johnson fluid in an inclined channel bounded by flexible walls. Int. J. Curr. Res. 8, 26617–26634 (2016)
T. Hayat, N. Aslam, A. Alsaedi, M. Rafiq, Numerical analysis for endoscope and Soret and Dufour effects on peristalsis of Prandtl fluid. Results Phys. 7, 2855–2864 (2017)
S.R. Kumar, MHD peristaltic transportation of a conducting blood flow with porous medium through inclined coaxial vertical channel. Int. J. Bio-Sci. Bio-Technol. 8, 11–26 (2016)
T. Hayat, S. Nawaz, A. Alsaedi, M. Rafiq, Influence of radial magnetic field on the peristaltic flow of Williamson fluid in a curved complaint walls channel. Results Phys. 7, 982–990 (2017)
M.M. Bhatti, M.A. Abbas, Simultaneous effects of slip and MHD on peristaltic blood flow of Jeffrey fluid model through a porous medium. Alex. Eng. J. 55, 1017–1023 (2016)
A.M. Abd-Alla, S.M. Abo-Dahab, A. Kilicman, Peristaltic flow of a Jeffrey fluid under the effect of radially varying magnetic field in a tube with an endoscope. J. Magn. Magn. Mater. 384, 79–86 (2015)
T. Hayat, A. Bibi, H. Yasmin, B. Ahmad, Simultaneous effects of Hall current and homogeneous/heterogeneous reactions on peristalsis. J. Taiwan Inst. Chem. Eng. 58, 28–38 (2016)
A. Tanveer, M. Khan, T. Salahuddin, M.Y. Malik, F. Khan, Theoretical investigation of peristaltic activity in MHD based blood flow of non-Newtonian material. Comput. Methods Programs Biomed. 187, 105225 (2020)
M. Awais, S. Farooq, T. Hayat, B. Ahmad, Comparative study of silver and copper water magneto nanoparticles with homogeneous–heterogeneous reactions in a tapered channel. Int. J. Heat Mass Transf. 115, 108–114 (2017)
A. Tanveer, T. Hayat, A. Alsaedi, B. Ahmad, Mixed convective peristaltic flow of Sisko fluid in curved channel with homogeneous–heterogeneous reaction effects. J. Mol. Liq. 233, 131–138 (2017)
T. Hayat, J. Akram, A. Alsaedi, H. Zahir, Endoscopy and homogeneous–heterogeneous reactions in MHD radiative peristaltic activity of Ree-Eyring fluid. Results Phys. 8, 481–488 (2018)
A. Bejan, Second law analysis in heat transfer. Energy 5, 720–732 (1980)
A. Bejan, Entropy Generation Minimization: The Method of Thermodynamic Optimization of Finite-time Systems and Finite-Time Processes (CRC Press, New York, 1996)
T. Hayat, S. Nawaz, A. Alsaedi, Entropy generation in peristalsis with different shapes of nanomaterial. J. Mol. Liq. 248, 447–458 (2017)
M. Sheikholeslami, New computational approach for exergy and entropy analysis of nanofluid under the impact of Lorentz force through a porous media. Comput. Methods Appl. Mech. Eng. 344, 319–333 (2019)
N.S. Akbar, Entropy generation and energy conversion rate for the peristaltic flow in a tube with magnetic field. Energy 82, 23–30 (2015)
S. Nawaz, T. Hayat, A. Alsaedi, Analysis of entropy generation in peristalsis of Williamson fluid in curved channel under radial magnetic field. Comput. Methods Programs Biomed. 180, 105013 (2019)
T. Hayat, M. Rafiq, B. Ahmad, S. Asghar, Entropy generation analysis for peristaltic flow of nanoparticles in a rotating frame. Int. J. Heat Mass Transf. 108, 1775–1786 (2017)
N.S. Akbar, M. Raza, R. Ellahi, Peristaltic flow with thermal conductivity of \(H_{2} O+Cu\) nanofluid and entropy generation. Results Phys. 5, 115–124 (2015)
T. Hayat, S. Nawaz, A. Alsaedi, O. Mahian, Entropy generation in peristaltic flow of Williamson nanofluid. Phys. Scr. 94, 125216 (2019)
M.A. Abbas, Y. Bai, M.M. Rashidi, M.M. Bhatti, Analysis of entropy generation in the flow of peristaltic nanofluids in channels with compliant walls. Entropy 18, 90 (2016)
Acknowledgements
We are grateful to Higher Education Commission (HEC) of Pakistan for financial support of this work under the project No. 20-3088/NRPU/R&D/HEC/13.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Hayat, T., Nawaz, S. & Alsaedi, A. Entropy analysis for the peristalsis flow with homogeneous–heterogeneous reaction. Eur. Phys. J. Plus 135, 296 (2020). https://doi.org/10.1140/epjp/s13360-020-00293-z
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/s13360-020-00293-z