Navigation
Message d'erreur
- Deprecated function: Return type of DatabaseStatementBase::execute($args = [], $options = []) should either be compatible with PDOStatement::execute(?array $params = null): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2244 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::current() should either be compatible with Iterator::current(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::next() should either be compatible with Iterator::next(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::key() should either be compatible with Iterator::key(): mixed, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::valid() should either be compatible with Iterator::valid(): bool, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: Return type of DatabaseStatementEmpty::rewind() should either be compatible with Iterator::rewind(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in require_once() (line 2346 of /home/laurentp/www/includes/database/database.inc).
- Deprecated function: strlen(): Passing null to parameter #1 ($string) of type string is deprecated in drupal_random_bytes() (line 2268 of /home/laurentp/www/includes/bootstrap.inc).
- Deprecated function: Optional parameter $type declared before required parameter $key is implicitly treated as a required parameter in include_once() (line 1389 of /home/laurentp/www/includes/bootstrap.inc).
- Deprecated function: Return type of DateObject::__wakeup() should either be compatible with DateTime::__wakeup(): void, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/laurentp/www/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Return type of DateObject::format($format, $force = false) should either be compatible with DateTime::format(string $format): string, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/laurentp/www/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Return type of DateObject::setTimezone($tz, $force = false) should either be compatible with DateTime::setTimezone(DateTimeZone $timezone): DateTime, or the #[\ReturnTypeWillChange] attribute should be used to temporarily suppress the notice in include_once() (line 143 of /home/laurentp/www/sites/all/modules/date/date_api/date_api.module).
- Deprecated function: Optional parameter $input declared before required parameter $form_state is implicitly treated as a required parameter in include_once() (line 1389 of /home/laurentp/www/includes/bootstrap.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : rtrim(): Passing null to parameter #1 ($string) of type string is deprecated dans url() (ligne 2349 dans /home/laurentp/www/includes/common.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property PDOException::$query_string is deprecated dans DatabaseConnection->query() (ligne 770 dans /home/laurentp/www/includes/database/database.inc).
- Deprecated function : Creation of dynamic property PDOException::$args is deprecated dans DatabaseConnection->query() (ligne 772 dans /home/laurentp/www/includes/database/database.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : strpos(): Passing null to parameter #1 ($haystack) of type string is deprecated dans url_is_external() (ligne 2393 dans /home/laurentp/www/includes/common.inc).
- Deprecated function : str_replace(): Passing null to parameter #3 ($subject) of type array|string is deprecated dans url_is_external() (ligne 2395 dans /home/laurentp/www/includes/common.inc).
- Deprecated function : ltrim(): Passing null to parameter #1 ($string) of type string is deprecated dans url() (ligne 2311 dans /home/laurentp/www/includes/common.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property SelectQuery::$alterTags is deprecated dans SelectQuery->addTag() (ligne 978 dans /home/laurentp/www/includes/database/select.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
- Deprecated function : Creation of dynamic property DatabaseCondition::$stringVersion is deprecated dans DatabaseCondition->compile() (ligne 1865 dans /home/laurentp/www/includes/database/query.inc).
Processus isentropique et adiabatique réversible
Pour un transformation réversible : dS=δQ/T
Pour un transformation adiabatique réversible δQ=0, donc dS aussi.
L'entropie est constante pendant une transformation adiabatique réversible.
dS=0 entraine S=Cte
Définition: une transformation isentropique est une transformation pendant laquelle l'entropie est constante.[1]
Propriété: une transformation adiabatique et réversible est isentropique (la réciproque est fausse en cas d'irréversibilité)
Propriété: une transformation isentropique et réversible est adiabatique.
Définition: une courbe isentropique dans le plan (V,P) est une courbe sur laquelle l'entropie est constante, on dira une isentropique en abrégé.
L'équation d'une isentropique est S(V,P) = Cte
Pour un gaz parfait on a les trois formes de la relation de Laplace:
1) PVγ=Cte1
où γ= cp/cv
2) TVγ-1=Cte2
3) TγP1-γ=Cte3
avec cv la capacité calorifique molaire à volume constant = Cv/n
et cp la capacité calorifique molaire à pression constante=Cp/n
Pour un gaz parfait cp-cv = R
Pour un liquide incompressible: lors d'un processus isentropique la température reste constante.
Références
- Annamalai K, Puri IK.
2002. Advanced thermodynamics for engineers. Advanced thermodynamics for engineers.