Convective heat and mass transfer in flow by an inclined stretching cylinder

Hayat, Tasawar; Saeed, Yusra; Asad, Sadia; Alsaedi, Ahmed

doi:10.1016/j.molliq.2016.03.047

Cited by 39 publications

(28 citation statements)

References 29 publications

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“…Hayat et al lem of mixed convective surface with chemical ed the convective type [28] of zero mass flux at surface of sheet. The different flow problems under convective surface conditions have been modeled and addressed by Hayat et al [30][31][32] and Imtiaz et al [33]. Our main objective here is to find numerical solutions for MHD stagnation point flow of an incompressible electrically conducting flow of micro nanofluid over a heated shrinking sheet.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Magnetic field is utilized in transverse direction of the flow field. The governing equations are: [30][31][32] and Imtiaz et al [33]. Our main objective here is to find numerical solutions for MHD stagnation point flow of an incompressible electrically conducting flow of micro nanofluid over a heated shrinking sheet.…”

Section: Problem Formulationmentioning

confidence: 99%

“…Here, the Kuznetsov and Nield condition [28] of zero mass flux at the surface of a sheet was employed. The different flow problems under convective surface conditions have been modeled and addressed by Hayat et al [30][31][32] and Imtiaz et al [33].…”

Section: Introductionmentioning

confidence: 99%

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MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf¹,

Shehzad²,

Hayat³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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Abstract. In this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields. Many biological fluids, as well as the fluids that are used in industrial applications such as printer inks, animal blood, detergents, paint, food stuff, polymer liquids, etc. change their flow characteristics when subjected to applied shear stress, and thus differ from Newtonian fluids. These materials are called non-Newtonian fluids. Researchers have discussed several non-Newtonian fluid flow models such as Maxwell fluid, power law fluid, second or third grade fluid, etc. Eringen [17,18] introduced the theory of micropolar fluids for the first time. This theory deals with the intrinsic motion and local microstructure of the fluid particles and can be valuable when investigating the impact of polymer suspensions, colloidal solutions, biological and muddy fluids, etc. Furthermore, the impact of mass and heat transfer, combined with the impact of chemical reaction, has in the last few years been investigated with regard to possible applications in hydrometallurgical and chemical plants, including fruit-processing methods, freeze damage of crops, temperature distribution and growth of trees, and heat and mass transfer in cooling towers. Heat transfer due to surface convection and zero mass flux at a stretching/shrinking surface has gained significance in material dying, hot wiring, nuclear plants, transpiration process, production of glass fiber, heat exchangers, prevention of energy, etc.The numerical solution of the problem of MHD stagnation point flow of micropolar fluid towards a moving sheet was presented by Ashraf and Bashir [19]. The extension of the above problem was performed by Rashidi et al. [20]. They added the term of mixed convection to the problem, and solved it analytically. Rauf et al. [21] numerically analyzed the MHD flow of micropolar fluid over a stretchable disk. The effects of a po-

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Section: Problem Formulationmentioning

confidence: 99%

Section: Problem Formulationmentioning

confidence: 99%

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MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Rauf¹,

Shehzad²,

Hayat³

et al. 2017

Bulletin of the Polish Academy of Sciences Technical Sciences

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“…These include Ali et al (thermal polymer processing), Bég et al (magnetic materials processing with cross‐diffusion), Abel et al (time‐dependent nonisothermal hydromagnetic extrusion flows), Ahmad et al (variable thermal conductivity stretching thermal flow), Gupta et al (unsteady micropolar sheet stretching with wall suction), Yam et al (rheological flow from stretching wedge geometries), Uddin et al (high‐temperature nanofluid boundary layer slip flows from extending/contracting sheets). Further numerical studies include Sajid et al (Newtonian viscous flow from curved stretching sheets), Latiff et al (time‐dependent micropolar nanofluid biological slip flows from shrinking or contracting sheets), Hayat et al viscous thermosolutal transport from oblique extending cylindrical bodies), Bég et al gyrotactic nanobioconvection fully developed flow in stretching/shrinking microchannels, Ali (transpiring heat transfer from a stretched sheet) and Basir et al (external transient axisymmetric nanobioconvection slip boundary layers from a stretching pipe). In these studies, different models for stretching were utilized including linear, quadratic, exponential and also power‐law and it was shown that stretch rates have a significant influence on skin friction and heat and mass transfer rates at the wall.…”

Section: Introductionmentioning

confidence: 99%

Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non‐Fourier heat flux model

Shamshuddin

Mishra

Bég

et al. 2018

Heat Trans. Asian Res.

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Nonlinear, steady‐state, viscous flow, and heat transfer between two stretchable rotating disks spinning at dissimilar velocities are studied with a non‐Fourier heat flux model. A nondeformable porous medium is intercalated between the disks and the Darcy model is used to simulate matrix impedance. The conservation equations are formulated in a cylindrical coordinate system and via the von Karman transformations are rendered into a system of coupled, nonlinear ordinary differential equations. The emerging boundary value problem is controlled by number of dimensionless parameters, that is, Prandtl number, upper disk stretching, lower disk stretching, permeability, non‐Fourier thermal relaxation, and relative rotation rate parameters. A perturbation solution is developed and the impact of selected parameters on radial and tangential velocity components, temperature, pressure, lower disk radial, and tangential skin friction components and surface heat transfer rate are visualized graphically. Validation of solutions with the homotopy analysis method is included. Extensive interpretation of the results is presented which are relevant to rotating disk bioreactors in chemical engineering.

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“…Mukhopadhyay [24][25][26] studied the effects of partial slip with MHD and chemically reactive solute transfer over a stretching cylinder. Recent studies has been done by Hayat et al [27,28] to investigate the problem in stretching cylinder which is the MHD axisymmetric flow of third grade fluid and the convective heat and mass transfer in flow by an inclined stretching cylinder. This paper considers the problem of boundary layer flow and heat transfer over a stretching cylinder in a Copperwater nanofluid, with water as the based fluid.…”

Section: Introduction (Use the Microsoft Word Template Style: Heading 1)mentioning

confidence: 99%

Boundary layer flow and heat transfer over a stretching cylinder in a copper-water nanofluid

Kardri¹,

Bachok²,

Arifin³

et al. 2017

AIP Conference Proceedings

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Convective heat and mass transfer in flow by an inclined stretching cylinder

Cited by 39 publications

References 29 publications

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions

Numerical study of heat transfer and viscous flow in a dual rotating extendable disk system with a non‐Fourier heat flux model

Boundary layer flow and heat transfer over a stretching cylinder in a copper-water nanofluid

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