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Numerical investigation of the chemically reactive magnetohydrodynamic blood-gold nanofluid flow between two rotating disks

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Abstract

In this article, the magnetohydrodynamic flow of a chemically reactive blood-gold nanofluid between two rotating disks is examined. At the lower disk surface, the thermal convective and zero mass flux conditions are considered, while the upper disk is kept at a constant temperature and concentration. The mathematical formulation of this analysis is presented in the form of PDEs. By means of proper similarity variables, PDEs are transformed into ODEs. The perseverance of this research is to investigate the influences of different entrenched factors, which are established during the transformation procedure, on the blood-gold nanofluid flow. The numerical solution of the modeled problem is established using the bvp4c MATLAB function. The correctness of the present model is confirmed by a comparison between the outcomes of the current numerical solution and those from previously published studies. The outcomes exhibit that the solid volume fraction increases both the axial and tangential velocities of the blood-gold nanofluid flow while decreasing its temperature. It is originated that the solid volume fraction has a dual effect on radial velocity of the blood-gold nanofluid flow. Also, we have seen that the axial velocity of the lower disk is greater for blood-gold nanofluid flow, while at the upper disk the axial velocity is lesser for blood-gold nanofluid flow. In addition, the pure blood has maximum temperature. It is observed that the axial, radial, and tangential velocities of the blood-gold nanofluid flow increase while the thermal profile reduces with the increasing Casson factor.

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Abbreviations

\(u\),\(v\),\(w\) :

Velocity components

\(r\),\(\theta\),\(z\) :

Cylindrical coordinates

\(p\) :

Pressure

\(\mu\) :

Dynamic viscosity

\(\sigma\) :

Electrical conductivity

\(k\) :

Thermal conductivity

\(C_{{\text{p}}}\) :

Specific heat

\(k_{\text r}\) :

Reaction coefficient

\(B_{0}\) :

Magnetic field strength

\(D_{{\text{B}}}\) :

Brownian diffusion coefficient

\(D_{{\text{T}}}\) :

Thermophoretic coefficient

\(k^{*}\) :

Mean absorption coefficient

\(\sigma^{*}\) :

Stefan–Boltzmann constant

\(\mho_{1}\) :

Rotation factor at the lower plate

\(\mho_{2}\) :

Rotation factor at the upper plate

\(T\) :

Temperature

\(C\) :

Concentration

\(h\) :

Distance between the two disks

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Authors and Affiliations

  1. Faculty of Engineering and Applied Sciences (FEAS), Department of Physics, Riphah International University, I-14 Campus, Islamabad, Pakistan

    Ishtiaq Khan

  2. Department of Physics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan

    Ishtiaq Khan & Amin Ur Rahman

  3. Department of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Jeddah-M, Riyadh, 11673, Kingdom of Saudi Arabia

    Showkat Ahmad Lone

  4. Department of Mathematics, Abdul Wali Khan University, Mardan, 23200, Khyber Pakhtunkhwa, Pakistan

    Abdullah Dawar & Saeed Islam

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  1. Ishtiaq Khan
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Correspondence to Abdullah Dawar.

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Khan, I., Rahman, A.U., Lone, S.A. et al. Numerical investigation of the chemically reactive magnetohydrodynamic blood-gold nanofluid flow between two rotating disks. J Therm Anal Calorim 148, 11903–11915 (2023). https://doi.org/10.1007/s10973-023-12481-x

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