Skip to main content
SpringerLink
Log in

Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem

  • Published:
Applied Mathematics and Mechanics Aims and scope Submit manuscript

Abstract

The purpose of this investigation is to theoretically shed some light on the effect of the unsteady electroosmotic flow (EOF) of an incompressible fractional second-grade fluid with low-dense mixtures of two spherical nanoparticles, copper, and titanium. The flow of the hybrid nanofluid takes place through a vertical micro-channel. A fractional Cattaneo model with heat conduction is considered. For the DC-operated micropump, the Lorentz force is responsible for the pressure difference through the microchannel. The Debye-Hükel approximation is utilized to linearize the charge density. The semi-analytical solutions for the velocity and heat equations are obtained with the Laplace and finite Fourier sine transforms and their numerical inverses. In addition to the analytical procedures, a numerical algorithm based on the finite difference method is introduced for the given domain. A comparison between the two solutions is presented. The variations of the velocity heat transfer against the enhancements in the pertinent parameters are thoroughly investigated graphically. It is noticed that the fractional-order parameter provides a crucial memory effect on the fluid and temperature fields. The present work has theoretical implications for biofluid-based microfluidic transport systems.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. WANG, X. Y., CHENG, C., WANG, S. L., and LIU, S. R. Electroosmotic pumps and their applications in microfluidic systems. Microfluid Nanofluidics, 6, 145–162 (2009)

    Article  Google Scholar 

  2. ZHAO, Q. K., XU, H., and TAO, L. B. Flow and heat transfer of nanofluid through a horizontal microchannel with magnetic field and interfacial electrokinetic effects. European Journal of Mechanics-B/Fluids, 80, 72–79 (2020)

    Article  MathSciNet  Google Scholar 

  3. AWAN, A. U., HISHAM, M. D., and RAZA, N. The effect of slip on electro-osmotic flow of a second-grade fluid between two plates with Caputo-Fabrizio time fractional derivatives. Canadian Journal of Physics, 97, 509–516 (2018)

    Article  Google Scholar 

  4. ALSHARIF, A. M. and ABD-ELMABOUD, Y. Electroosmotic flow of generalized fractional second grade fluid with fractional Cattaneo model through a vertical annulus. Chinese Journal of Physics, 77, 1015–1028 (2021)

    Article  MathSciNet  Google Scholar 

  5. ABDELLATEEF, A. I., ALSHEHRI, H. M., and ABD-ELMABOUD, Y. Electro-osmotic flow of fractional second-grade fluid with fractional Cattaneo heat flux through a vertical microchannel. Heat Transfer, 50, 6628–6644 (2021)

    Article  Google Scholar 

  6. DEY, P. and SHIT, G. C. Electroosmotic flow of a fractional second-grade fluid with interfacial slip and heat transfer in the microchannel when exposed to a magnetic field. Heat Transfer, 50, 2643–2666 (2021)

    Article  Google Scholar 

  7. WANG, X. P., QI, H. T., YU, B., XIONG, Z., and XU, H. Y. Analytical and numerical study of electroosmotic slip flows of fractional second grade fluids. Communications in Nonlinear Science and Numerical Simulation, 50, 77–87 (2017)

    Article  MathSciNet  Google Scholar 

  8. WANG, S. W., ZHAO, M. L., LI, X. C., CHEN, X., and GE, Y. H. Exact solutions of electroosmotic flow of generalized second-grade fluid with fractional derivative in a straight pipe of circular cross section. Zeitschrift für Naturforschung A, 69, 697–704 (2014)

    Article  Google Scholar 

  9. ABDELSALAM, S. I., VELASCO-HERNÁDEZ, J. X., and ZAHER, A. Z. Electromagnetically modulated self-propulsion of swimming sperms via cervical canal. Biomechanics and Modeling in Mechanobiology, 20, 861–878 (2021)

    Article  Google Scholar 

  10. ABDELSALAM, S. I. and ZAHER, A. Z. Leveraging elasticity to uncover the role of Rabinowitsch suspension through a wavelike conduit: consolidated blood suspension application. Mathematics, 9, 1–25 (2021)

    Article  Google Scholar 

  11. BHATTI, M. M. and ABDELSALAM, S. I. Bio-inspired peristaltic propulsion of hybrid nanofluid flow with tantalum (Ta) and gold (Au) nanoparticles under magnetic effects. Waves in Random and Complex Media (2021) https://doi.org/10.1080/17455030.2021.1998728

  12. BHATTI, M. M. and ABDELSALAM, S. I. Thermodynamic entropy of a magnetized Ree-Eyring particle-fluid motion with irreversibility process: a mathematical paradigm. ZAMM-Zeitschrift für Angewandte Mathematik und Mechanik, 101, e202000186 (2021)

    Article  MathSciNet  Google Scholar 

  13. QI, H. T., XU, H. Y., and GUO, X. W. The Cattaneo-type time fractional heat conduction equation for laser heating. Computers and Mathematics with Applications, 66, 824–831 (2013)

    Article  MathSciNet  Google Scholar 

  14. XU, G. Y. and WANG, J. B. Analytical solution of time fractional Cattaneo heat equation for finite slab under pulse heat flux. Applied Mathematics and Mechanics (English Edition), 39(10), 1465–1476 (2018) https://doi.org/10.1007/s10483-018-2375-8

    Article  MathSciNet  Google Scholar 

  15. XU, X. Y., QI, H. T., and JIANG, X. X. Fractional Cattaneo heat equation in a semi-infinite medium. Chinese Physics B, 22, 0114401 (2013)

    Google Scholar 

  16. ANANTHA-KUMAR, K., RAMANA-REDDY, J. V., SUGUNAMMA, V., and SANDEEP, N. MHD Carreau fluid flow past a melting surface with Cattaneo-Christov heat flux. Applied Mathematics and Scientific Computing. Trends in Mathematics, Birkhauser, Cham (2019)

    Chapter  Google Scholar 

  17. RAMANDEVI, B., RAMANA-REDDY, J. V., SUGUNAMMA, V., and SANDEEP, N. Combined influence of viscous dissipation and non-uniform heat source/sink on MHD non-Newtonian fluid flow with Cattaneo-Christov heat flux. Alexandria Engineering Journal, 57, 1009–1018 (2018)

    Article  Google Scholar 

  18. ANANTHA-KUMAR, K., RAMANA-REDDY, J. V., SUGUNAMMA, V., and SANDEEP, N. Magnetohydrodynamic Cattaneo-Christov flow past a cone and a wedge with variable heat source/sink. Alexandria Engineering Journal, 57, 435–443 (2018)

    Article  Google Scholar 

  19. TRIPATHI, D., PRAKASH, J., TIWARI, A. K., and ELLAHI, R. Thermal, microrotation, electromagnetic field and nanoparticle shape effects on Cu-CuO/blood flow in microvascular vessels. Microvascular Research, 132, 104065 (2020)

    Article  Google Scholar 

  20. ELELAMY, A. F., ELGAZERY, N. S., and ELLAHI, R. Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: application of bacterial growth in heart valve. International Journal of Numerical Methods for Heat & Fluid Flow, 30, 4883–4908 (2020)

    Article  Google Scholar 

  21. RIAZ, A., BOBESCU, E., RAMESH, K., and ELLAHI, R. Entropy analysis for cilia-generated motion of Cu-blood flow of nanofluid in an annulus. Symmetry, 13, 2358 (2021)

    Article  Google Scholar 

  22. KHAN, U., SHAFIQ, A., ZAIB, A., and BALEANU, D. Hybrid nanofluid on mixed convective radiative flow from an irregular variably thick moving surface with convex and concave effects. Case Studies in Thermal Engineering, 21, 100660 (2020)

    Article  Google Scholar 

  23. CHRISTOPHER, A. J., MAGESH, N., GOWDA, R. J. P., KUMAR, R. N., and KUMAR, R. S. V. Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous-heterogeneous reactions and Cattaneo-Christov heat flux: series solution and numerical simulation. Heat Transfer, 50, 3800–3821 (2021)

    Article  Google Scholar 

  24. EL-MASRY, Y., ABD-ELMABOUD, Y., and ABDEL-SATTAR, M. A. Direct current/alternating current magnetohydrodynamic micropump of a hybrid nanofluid through a vertical annulus with heat transfer. Journal of Thermal Science and Engineering Applications, 12, 044501 (2020)

    Article  Google Scholar 

  25. EZZAT, M. A. Thermoelectric MHD non-Newtonian fluid with fractional derivative heat transfer. Physica B, 405, 4188–4194 (2010)

    Article  Google Scholar 

  26. ABD-ELMABOUD, Y. Electroosmotic flow of generalized Burgers’ fluid with Caputo-fabrizio derivatives through a vertical annulus with heat transfer. Alexandria Engineering Journal, 59, 4563–4575 (2020)

    Article  Google Scholar 

Download references

Acknowledgements

A. M. ALSHARIF is very pleased with the Taif University Researchers Supporting Project of Taif University of Saudi Arabia (No. TURSP-2020/96).

Author information

Authors and Affiliations

  1. Department of Mathematics and Statistics, College of Science, Taif University, P. O. Box 11099, Taif, 21944, Saudi Arabia

    A. M. Alsharif

  2. Department of Applied Mathematics and Science, Faculty of Engineering, National University of Science and Technology, Seeb, 111, Sultanate of Oman

    A. I. Abdellateef

  3. Department of Mathematics, College of Science and Arts at Khulis, University of Jeddah, Jeddah, 21589, Saudi Arabia

    Y. A. Elmaboud

  4. Department of Mathematics, Faculty of Science, Al-Azhar University (Assiut Branch), Assiut, 71254, Egypt

    Y. A. Elmaboud

  5. Department of Basic Science, Faculty of Engineering, The British University in Egypt, Cairo, 11837, Egypt

    S. I. Abdelsalam

Authors
  1. A. M. Alsharif
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. I. Abdellateef
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Y. A. Elmaboud
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. S. I. Abdelsalam
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to S. I. Abdelsalam.

Additional information

Citation: ALSHARIF, A. M., ABDELLATEEF, A. I., ELMABOUD, Y. A., and ABDELSALAM, S. I. Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem. Applied Mathematics and Mechanics (English Edition), 43(6), 931–944 (2022) https://doi.org/10.1007/s10483-022-2854-6

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alsharif, A.M., Abdellateef, A.I., Elmaboud, Y.A. et al. Performance enhancement of a DC-operated micropump with electroosmosis in a hybrid nanofluid: fractional Cattaneo heat flux problem. Appl. Math. Mech.-Engl. Ed. 43, 931–944 (2022). https://doi.org/10.1007/s10483-022-2854-6

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10483-022-2854-6

Key words

Chinese Library Classification

2010 Mathematics Subject Classification

Search

Navigation