Statements (23)
| Predicate | Object | 
|---|---|
| gptkbp:instanceOf | 
                                    
                                        
                                            gptkb:Partial_differential_equation
                                        
                                         | 
                            
| gptkbp:alsoKnownAs | 
                                    
                                        
                                            gptkb:Laplace's_equation
                                        
                                         | 
                            
| gptkbp:appliesTo | 
                                    
                                        
                                            
                                            steady-state conditions
                                        
                                        
                                         | 
                            
| gptkbp:assumes | 
                                    
                                        
                                            
                                            thermal equilibrium
                                        
                                        
                                         no internal heat generation  | 
                            
| gptkbp:describes | 
                                    
                                        
                                            
                                            temperature distribution in a solid at steady state
                                        
                                        
                                         | 
                            
| gptkbp:domain | 
                                    
                                        
                                            
                                            solid materials
                                        
                                        
                                         | 
                            
| gptkbp:field | 
                                    
                                        
                                            
                                            engineering
                                        
                                        
                                         mathematical physics thermodynamics  | 
                            
| gptkbp:form | 
                                    
                                        
                                            
                                            ∇²T = 0
                                        
                                        
                                         | 
                            
| gptkbp:governs | 
                                    
                                        
                                            
                                            steady-state heat transfer
                                        
                                        
                                         | 
                            
| gptkbp:hasSpecialCase | 
                                    
                                        
                                            gptkb:heat_equation
                                        
                                         diffusion equation  | 
                            
| gptkbp:relatedTo | 
                                    
                                        
                                            gptkb:Poisson's_equation
                                        
                                         | 
                            
| gptkbp:solvedBy | 
                                    
                                        
                                            
                                            finite difference method
                                        
                                        
                                         finite element method separation of variables  | 
                            
| gptkbp:usedIn | 
                                    
                                        
                                            
                                            heat conduction
                                        
                                        
                                         | 
                            
| gptkbp:variant | 
                                    
                                        
                                            gptkb:temperature
                                        
                                         | 
                            
| gptkbp:bfsParent | 
                                    
                                        
                                            gptkb:Heat_Equation
                                        
                                         | 
                            
| gptkbp:bfsLayer | 
                                    
                                        
                                            
                                            8
                                        
                                        
                                         | 
                            
| https://www.w3.org/2000/01/rdf-schema#label | 
                                    
                                        
                                            
                                            Steady-state heat equation
                                        
                                        
                                         |