Abstract
<p class="zhengwen"><span lang="EN-GB">The linear boundary layer of the free flow around a circular horizontal cylinder with uniform surface temperature in the presence of heat generation was studied. Upon obtaining the non-dimensional boundary layer equations, the Runge-Kutta series method was used to solve the non-linear partial differential equations numerically. The surface shear stress results and surface heat rate were subsequently obtained in terms of the internal shell friction and the local Nusselt number respectively. The following heat generation parameters (C) were selected: 0.0, 0.2, 0.5, 0.8, and 1.0. The following results were obtained: 1) increasing C led to a corresponding increase u, v , VM , and θ , 2) Increasing i led to a corresponding increase in u, v , and VM, and 3) increasing C increased velocity variations and, naturally, the value of Cf, and 4) increasing i from i=0 to i=100 led to a decrease in the Nusselt number (Nu). </span></p>
Highlights
Free convection heat transfer occurs as a result of the change in density resulting from slight differences in temperature between fluid components, which create buoyancy forces in the fluid
Due to the significance and frequent occurrence in nature of free convection flow, this form of heat transfer has long been the subject of numerous studies (Takhar 1968; Merkin 1969; Sparrow, Husar, and Goldestein 1969; Corcione 2005; Molla, Hossein, and Paul 2006)
An example of free convection can be observed in the heat transfer from the hot components in the vertical arrays of integrated circuit boards in stagnant air
Summary
Free convection heat transfer occurs as a result of the change in density resulting from slight differences in temperature between fluid components, which create buoyancy forces in the fluid. Wageravelo and Hodgincolova (Vajravelu, Hadjinicolaou 1993) studied the heat transfer characteristics of the linear boundary layer flow of a viscous fluid on a linearly expanded continuous surface in the presence of viscous friction heat loss and internal heat generation. Molla, Hossain, and Gorla (2005) studied the natural convection flow around a horizontal circular isothermal cylinder where the temperature was dependent on viscosity. Pop, Nazar, and Amin (2002), studied the problem of natural convection flow from a lower to a higher stagnation point on a horizontal circular cylinder submerged in a micro magnetic flux. The linear boundary layer in free convection from a horizontal circular cylinder at uniform surface temperature in the presence of heat generation was investigated.
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