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- Title
Thermal and rheological effects in a classical Graetz problem using a nonlinear Robertson-Stiff fluid model.
- Authors
Saeed Khan, Muhammad Waris; Ali, Nasir; Asghar, Zeeshan
- Abstract
The present article elaborates the Graetz problem for the Robertson-Stiff fluid model with imposed iso- thermal conditions. The closed-form expression of Robertson-Stiff fluid velocity is obtained. Employing the classical separation of variables approach, the energy equation of the said problem is reduced into an eigenvalue problem. The solution of the eigenvalue problem is developed numerically via the MATLAB built-in algorithm BVP4C. The constants appearing in series solutions are computed by Simpson's rule. The special case of this analysis with appropriate scaling is also applicable for the Bingham, power-law, and Newtonian fluid models. The impact of the dissipation function on Nusselt numbers and mean temperature is also considered. The pictorial representation of average temp7erature and Nusselt number are discussed in the presence of the plug radius, power-law index, and Brinkman number. It is observed that the presence of the plug radius and power-law index delay the prevalence of fully developed conditions for the Nusselt number. Moreover, the local Nusselt number for channel confinement attains higher values as compared with tube confinement. The present investigation has numerous applications in the field of engineering, nanotechnology, biomedical sciences, and development of several thermal types of equipment or microfluidic devices.
- Subjects
NEWTONIAN fluids; NONLINEAR equations; NUSSELT number; SEPARATION of variables; MICROFLUIDIC devices; POWER law (Mathematics)
- Publication
Heat Transfer, 2021, Vol 50, Issue 3, p2321
- ISSN
2688-4534
- Publication type
Article
- DOI
10.1002/htj.21980